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Finding the Fourth Proportional to 2,617.65, 3,612.22 and 1,438.76

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Solution

The fourth proportional to 2,617.65, 3,612.22 and 1,438.76 is: 1,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.65 : 3,612.22 = 1,438.76 : x
  2. Step 2: Convert to fraction form
    2,617.65/3,612.22 = 1,438.76/x
  3. Step 3: Cross multiply
    2,617.65x = 3,612.22 × 1,438.76
  4. Step 4: Simplify right side
    2,617.65x = 5,197,117.65
  5. Step 5: Solve for x
    x = 5,197,117.65/2,617.65
  6. Step 6: Final answer
    x = 1,985.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.