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Finding the Fourth Proportional to 7,641.92, 11,462.72 and 2,447.36

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Solution

The fourth proportional to 7,641.92, 11,462.72 and 2,447.36 is: 3,670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.92 : 11,462.72 = 2,447.36 : x
  2. Step 2: Convert to fraction form
    7,641.92/11,462.72 = 2,447.36/x
  3. Step 3: Cross multiply
    7,641.92x = 11,462.72 × 2,447.36
  4. Step 4: Simplify right side
    7,641.92x = 28,053,402.42
  5. Step 5: Solve for x
    x = 28,053,402.42/7,641.92
  6. Step 6: Final answer
    x = 3,670.99

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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.