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Finding the Fourth Proportional to 10,905.06, 15,015.06 and 9,132.78

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Solution

The fourth proportional to 10,905.06, 15,015.06 and 9,132.78 is: 12,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.06 : 15,015.06 = 9,132.78 : x
  2. Step 2: Convert to fraction form
    10,905.06/15,015.06 = 9,132.78/x
  3. Step 3: Cross multiply
    10,905.06x = 15,015.06 × 9,132.78
  4. Step 4: Simplify right side
    10,905.06x = 137,129,239.67
  5. Step 5: Solve for x
    x = 137,129,239.67/10,905.06
  6. Step 6: Final answer
    x = 12,574.83

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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.