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Finding the Fourth Proportional to 8,410.47, 12,638.81 and 7,861.92

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Solution

The fourth proportional to 8,410.47, 12,638.81 and 7,861.92 is: 11,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.47 : 12,638.81 = 7,861.92 : x
  2. Step 2: Convert to fraction form
    8,410.47/12,638.81 = 7,861.92/x
  3. Step 3: Cross multiply
    8,410.47x = 12,638.81 × 7,861.92
  4. Step 4: Simplify right side
    8,410.47x = 99,365,352.13
  5. Step 5: Solve for x
    x = 99,365,352.13/8,410.47
  6. Step 6: Final answer
    x = 11,814.49

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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.