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Finding the Fourth Proportional to 10,127.04, 14,001.92 and 9,978

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Solution

The fourth proportional to 10,127.04, 14,001.92 and 9,978 is: 13,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.04 : 14,001.92 = 9,978 : x
  2. Step 2: Convert to fraction form
    10,127.04/14,001.92 = 9,978/x
  3. Step 3: Cross multiply
    10,127.04x = 14,001.92 × 9,978
  4. Step 4: Simplify right side
    10,127.04x = 139,711,157.76
  5. Step 5: Solve for x
    x = 139,711,157.76/10,127.04
  6. Step 6: Final answer
    x = 13,795.85

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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.