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Finding the Fourth Proportional to 6,471.90, 8,931.33 and 3,639.87

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Solution

The fourth proportional to 6,471.90, 8,931.33 and 3,639.87 is: 5,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.90 : 8,931.33 = 3,639.87 : x
  2. Step 2: Convert to fraction form
    6,471.90/8,931.33 = 3,639.87/x
  3. Step 3: Cross multiply
    6,471.90x = 8,931.33 × 3,639.87
  4. Step 4: Simplify right side
    6,471.90x = 32,508,880.13
  5. Step 5: Solve for x
    x = 32,508,880.13/6,471.90
  6. Step 6: Final answer
    x = 5,023.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.