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Finding the Fourth Proportional to 1,572.90, 2,169.42 and 1,503.11

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Solution

The fourth proportional to 1,572.90, 2,169.42 and 1,503.11 is: 2,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.90 : 2,169.42 = 1,503.11 : x
  2. Step 2: Convert to fraction form
    1,572.90/2,169.42 = 1,503.11/x
  3. Step 3: Cross multiply
    1,572.90x = 2,169.42 × 1,503.11
  4. Step 4: Simplify right side
    1,572.90x = 3,260,877.16
  5. Step 5: Solve for x
    x = 3,260,877.16/1,572.90
  6. Step 6: Final answer
    x = 2,073.16

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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.