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Finding the Fourth Proportional to 8,578.71, 12,872.47 and 6,498.02

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Solution

The fourth proportional to 8,578.71, 12,872.47 and 6,498.02 is: 9,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.71 : 12,872.47 = 6,498.02 : x
  2. Step 2: Convert to fraction form
    8,578.71/12,872.47 = 6,498.02/x
  3. Step 3: Cross multiply
    8,578.71x = 12,872.47 × 6,498.02
  4. Step 4: Simplify right side
    8,578.71x = 83,645,595.63
  5. Step 5: Solve for x
    x = 83,645,595.63/8,578.71
  6. Step 6: Final answer
    x = 9,750.37

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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.