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Finding the Fourth Proportional to 10,902.76, 15,041.92 and 7,128.09

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Solution

The fourth proportional to 10,902.76, 15,041.92 and 7,128.09 is: 9,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.76 : 15,041.92 = 7,128.09 : x
  2. Step 2: Convert to fraction form
    10,902.76/15,041.92 = 7,128.09/x
  3. Step 3: Cross multiply
    10,902.76x = 15,041.92 × 7,128.09
  4. Step 4: Simplify right side
    10,902.76x = 107,220,159.53
  5. Step 5: Solve for x
    x = 107,220,159.53/10,902.76
  6. Step 6: Final answer
    x = 9,834.22

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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.