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Finding the Fourth Proportional to 2,569.81, 3,854.37 and 926.13

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Solution

The fourth proportional to 2,569.81, 3,854.37 and 926.13 is: 1,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.81 : 3,854.37 = 926.13 : x
  2. Step 2: Convert to fraction form
    2,569.81/3,854.37 = 926.13/x
  3. Step 3: Cross multiply
    2,569.81x = 3,854.37 × 926.13
  4. Step 4: Simplify right side
    2,569.81x = 3,569,643.06
  5. Step 5: Solve for x
    x = 3,569,643.06/2,569.81
  6. Step 6: Final answer
    x = 1,389.07

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.