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Finding the Fourth Proportional to 8,543.49, 12,817.31 and 4,159.95

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Solution

The fourth proportional to 8,543.49, 12,817.31 and 4,159.95 is: 6,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.49 : 12,817.31 = 4,159.95 : x
  2. Step 2: Convert to fraction form
    8,543.49/12,817.31 = 4,159.95/x
  3. Step 3: Cross multiply
    8,543.49x = 12,817.31 × 4,159.95
  4. Step 4: Simplify right side
    8,543.49x = 53,319,347.93
  5. Step 5: Solve for x
    x = 53,319,347.93/8,543.49
  6. Step 6: Final answer
    x = 6,240.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.