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Finding the Fourth Proportional to 8,471.69, 12,705.13 and 5,347.02

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Solution

The fourth proportional to 8,471.69, 12,705.13 and 5,347.02 is: 8,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.69 : 12,705.13 = 5,347.02 : x
  2. Step 2: Convert to fraction form
    8,471.69/12,705.13 = 5,347.02/x
  3. Step 3: Cross multiply
    8,471.69x = 12,705.13 × 5,347.02
  4. Step 4: Simplify right side
    8,471.69x = 67,934,520.69
  5. Step 5: Solve for x
    x = 67,934,520.69/8,471.69
  6. Step 6: Final answer
    x = 8,019.00

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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.