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Finding the Fourth Proportional to 13,815.68, 20,712.24 and 6,424.76

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Solution

The fourth proportional to 13,815.68, 20,712.24 and 6,424.76 is: 9,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.68 : 20,712.24 = 6,424.76 : x
  2. Step 2: Convert to fraction form
    13,815.68/20,712.24 = 6,424.76/x
  3. Step 3: Cross multiply
    13,815.68x = 20,712.24 × 6,424.76
  4. Step 4: Simplify right side
    13,815.68x = 133,071,171.06
  5. Step 5: Solve for x
    x = 133,071,171.06/13,815.68
  6. Step 6: Final answer
    x = 9,631.89

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1.5x scale

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.