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Finding the Fourth Proportional to 6,472, 9,711.52 and 2,576.40

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Solution

The fourth proportional to 6,472, 9,711.52 and 2,576.40 is: 3,866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 9,711.52 = 2,576.40 : x
  2. Step 2: Convert to fraction form
    6,472/9,711.52 = 2,576.40/x
  3. Step 3: Cross multiply
    6,472x = 9,711.52 × 2,576.40
  4. Step 4: Simplify right side
    6,472x = 25,020,760.13
  5. Step 5: Solve for x
    x = 25,020,760.13/6,472
  6. Step 6: Final answer
    x = 3,866.00

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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.