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Finding the Fourth Proportional to 8,476.68, 12,705.84 and 3,549

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Solution

The fourth proportional to 8,476.68, 12,705.84 and 3,549 is: 5,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.68 : 12,705.84 = 3,549 : x
  2. Step 2: Convert to fraction form
    8,476.68/12,705.84 = 3,549/x
  3. Step 3: Cross multiply
    8,476.68x = 12,705.84 × 3,549
  4. Step 4: Simplify right side
    8,476.68x = 45,093,026.16
  5. Step 5: Solve for x
    x = 45,093,026.16/8,476.68
  6. Step 6: Final answer
    x = 5,319.66

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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.