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Finding the Fourth Proportional to 8,447.68, 12,663.84 and 5,842.24

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Solution

The fourth proportional to 8,447.68, 12,663.84 and 5,842.24 is: 8,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.68 : 12,663.84 = 5,842.24 : x
  2. Step 2: Convert to fraction form
    8,447.68/12,663.84 = 5,842.24/x
  3. Step 3: Cross multiply
    8,447.68x = 12,663.84 × 5,842.24
  4. Step 4: Simplify right side
    8,447.68x = 73,985,192.60
  5. Step 5: Solve for x
    x = 73,985,192.60/8,447.68
  6. Step 6: Final answer
    x = 8,758.05

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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.