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Finding the Fourth Proportional to 6,472.19, 8,931.41 and 3,639.69

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Solution

The fourth proportional to 6,472.19, 8,931.41 and 3,639.69 is: 5,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.19 : 8,931.41 = 3,639.69 : x
  2. Step 2: Convert to fraction form
    6,472.19/8,931.41 = 3,639.69/x
  3. Step 3: Cross multiply
    6,472.19x = 8,931.41 × 3,639.69
  4. Step 4: Simplify right side
    6,472.19x = 32,507,572.76
  5. Step 5: Solve for x
    x = 32,507,572.76/6,472.19
  6. Step 6: Final answer
    x = 5,022.65

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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.