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Finding the Fourth Proportional to 6,488.72, 9,732.02 and 2,328.12

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Solution

The fourth proportional to 6,488.72, 9,732.02 and 2,328.12 is: 3,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.72 : 9,732.02 = 2,328.12 : x
  2. Step 2: Convert to fraction form
    6,488.72/9,732.02 = 2,328.12/x
  3. Step 3: Cross multiply
    6,488.72x = 9,732.02 × 2,328.12
  4. Step 4: Simplify right side
    6,488.72x = 22,657,310.40
  5. Step 5: Solve for x
    x = 22,657,310.40/6,488.72
  6. Step 6: Final answer
    x = 3,491.80

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Why These Related Problems?

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