Home / 1,637.27-2,259.45-974.19

Finding the Fourth Proportional to 1,637.27, 2,259.45 and 974.19

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Solution

The fourth proportional to 1,637.27, 2,259.45 and 974.19 is: 1,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.27 : 2,259.45 = 974.19 : x
  2. Step 2: Convert to fraction form
    1,637.27/2,259.45 = 974.19/x
  3. Step 3: Cross multiply
    1,637.27x = 2,259.45 × 974.19
  4. Step 4: Simplify right side
    1,637.27x = 2,201,133.60
  5. Step 5: Solve for x
    x = 2,201,133.60/1,637.27
  6. Step 6: Final answer
    x = 1,344.40

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Half scale
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Double scale
Find fourth proportional to 1,638.27, 2,260.83 and 975.19
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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.