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Finding the Fourth Proportional to 12,472.98, 18,736.80 and 9,207.06

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Solution

The fourth proportional to 12,472.98, 18,736.80 and 9,207.06 is: 13,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.98 : 18,736.80 = 9,207.06 : x
  2. Step 2: Convert to fraction form
    12,472.98/18,736.80 = 9,207.06/x
  3. Step 3: Cross multiply
    12,472.98x = 18,736.80 × 9,207.06
  4. Step 4: Simplify right side
    12,472.98x = 172,510,841.81
  5. Step 5: Solve for x
    x = 172,510,841.81/12,472.98
  6. Step 6: Final answer
    x = 13,830.76

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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.