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Finding the Fourth Proportional to 6,472.88, 8,931.47 and 3,639.85

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Solution

The fourth proportional to 6,472.88, 8,931.47 and 3,639.85 is: 5,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.88 : 8,931.47 = 3,639.85 : x
  2. Step 2: Convert to fraction form
    6,472.88/8,931.47 = 3,639.85/x
  3. Step 3: Cross multiply
    6,472.88x = 8,931.47 × 3,639.85
  4. Step 4: Simplify right side
    6,472.88x = 32,509,220.79
  5. Step 5: Solve for x
    x = 32,509,220.79/6,472.88
  6. Step 6: Final answer
    x = 5,022.37

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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.