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Finding the Fourth Proportional to 12,312.62, 18,475.74 and 7,635.14

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Solution

The fourth proportional to 12,312.62, 18,475.74 and 7,635.14 is: 11,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.62 : 18,475.74 = 7,635.14 : x
  2. Step 2: Convert to fraction form
    12,312.62/18,475.74 = 7,635.14/x
  3. Step 3: Cross multiply
    12,312.62x = 18,475.74 × 7,635.14
  4. Step 4: Simplify right side
    12,312.62x = 141,064,769.12
  5. Step 5: Solve for x
    x = 141,064,769.12/12,312.62
  6. Step 6: Final answer
    x = 11,456.93

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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.