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Finding the Fourth Proportional to 8,543.87, 12,816.71 and 3,614.01

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Solution

The fourth proportional to 8,543.87, 12,816.71 and 3,614.01 is: 5,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.87 : 12,816.71 = 3,614.01 : x
  2. Step 2: Convert to fraction form
    8,543.87/12,816.71 = 3,614.01/x
  3. Step 3: Cross multiply
    8,543.87x = 12,816.71 × 3,614.01
  4. Step 4: Simplify right side
    8,543.87x = 46,319,718.11
  5. Step 5: Solve for x
    x = 46,319,718.11/8,543.87
  6. Step 6: Final answer
    x = 5,421.40

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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.