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Finding the Fourth Proportional to 10,424, 14,385.12 and 7,773.68

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Solution

The fourth proportional to 10,424, 14,385.12 and 7,773.68 is: 10,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 14,385.12 = 7,773.68 : x
  2. Step 2: Convert to fraction form
    10,424/14,385.12 = 7,773.68/x
  3. Step 3: Cross multiply
    10,424x = 14,385.12 × 7,773.68
  4. Step 4: Simplify right side
    10,424x = 111,825,319.64
  5. Step 5: Solve for x
    x = 111,825,319.64/10,424
  6. Step 6: Final answer
    x = 10,727.68

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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.