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Finding the Fourth Proportional to 10,704, 14,780.64 and 6,731.76

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Solution

The fourth proportional to 10,704, 14,780.64 and 6,731.76 is: 9,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704 : 14,780.64 = 6,731.76 : x
  2. Step 2: Convert to fraction form
    10,704/14,780.64 = 6,731.76/x
  3. Step 3: Cross multiply
    10,704x = 14,780.64 × 6,731.76
  4. Step 4: Simplify right side
    10,704x = 99,499,721.13
  5. Step 5: Solve for x
    x = 99,499,721.13/10,704
  6. Step 6: Final answer
    x = 9,295.56

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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.