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Finding the Fourth Proportional to 13,478.65, 18,607.12 and 10,446.92

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Solution

The fourth proportional to 13,478.65, 18,607.12 and 10,446.92 is: 14,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.65 : 18,607.12 = 10,446.92 : x
  2. Step 2: Convert to fraction form
    13,478.65/18,607.12 = 10,446.92/x
  3. Step 3: Cross multiply
    13,478.65x = 18,607.12 × 10,446.92
  4. Step 4: Simplify right side
    13,478.65x = 194,387,149.36
  5. Step 5: Solve for x
    x = 194,387,149.36/13,478.65
  6. Step 6: Final answer
    x = 14,421.85

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1.5x scale

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.