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Finding the Fourth Proportional to 15,737.81, 21,721.09 and 9,023.48

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Solution

The fourth proportional to 15,737.81, 21,721.09 and 9,023.48 is: 12,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.81 : 21,721.09 = 9,023.48 : x
  2. Step 2: Convert to fraction form
    15,737.81/21,721.09 = 9,023.48/x
  3. Step 3: Cross multiply
    15,737.81x = 21,721.09 × 9,023.48
  4. Step 4: Simplify right side
    15,737.81x = 195,999,821.19
  5. Step 5: Solve for x
    x = 195,999,821.19/15,737.81
  6. Step 6: Final answer
    x = 12,454.07

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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.