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Finding the Fourth Proportional to 8,471.16, 12,705.18 and 3,539.48

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Solution

The fourth proportional to 8,471.16, 12,705.18 and 3,539.48 is: 5,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.16 : 12,705.18 = 3,539.48 : x
  2. Step 2: Convert to fraction form
    8,471.16/12,705.18 = 3,539.48/x
  3. Step 3: Cross multiply
    8,471.16x = 12,705.18 × 3,539.48
  4. Step 4: Simplify right side
    8,471.16x = 44,969,666.98
  5. Step 5: Solve for x
    x = 44,969,666.98/8,471.16
  6. Step 6: Final answer
    x = 5,308.56

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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.