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Finding the Fourth Proportional to 10,902, 15,045.24 and 6,425.94

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Solution

The fourth proportional to 10,902, 15,045.24 and 6,425.94 is: 8,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902 : 15,045.24 = 6,425.94 : x
  2. Step 2: Convert to fraction form
    10,902/15,045.24 = 6,425.94/x
  3. Step 3: Cross multiply
    10,902x = 15,045.24 × 6,425.94
  4. Step 4: Simplify right side
    10,902x = 96,679,809.53
  5. Step 5: Solve for x
    x = 96,679,809.53/10,902
  6. Step 6: Final answer
    x = 8,868.08

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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.