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Finding the Fourth Proportional to 10,607.32, 15,902.34 and 4,447

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Solution

The fourth proportional to 10,607.32, 15,902.34 and 4,447 is: 6,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.32 : 15,902.34 = 4,447 : x
  2. Step 2: Convert to fraction form
    10,607.32/15,902.34 = 4,447/x
  3. Step 3: Cross multiply
    10,607.32x = 15,902.34 × 4,447
  4. Step 4: Simplify right side
    10,607.32x = 70,717,705.98
  5. Step 5: Solve for x
    x = 70,717,705.98/10,607.32
  6. Step 6: Final answer
    x = 6,666.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.