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Finding the Fourth Proportional to 8,970.97, 13,456.47 and 4,289.88

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Solution

The fourth proportional to 8,970.97, 13,456.47 and 4,289.88 is: 6,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.97 : 13,456.47 = 4,289.88 : x
  2. Step 2: Convert to fraction form
    8,970.97/13,456.47 = 4,289.88/x
  3. Step 3: Cross multiply
    8,970.97x = 13,456.47 × 4,289.88
  4. Step 4: Simplify right side
    8,970.97x = 57,726,641.52
  5. Step 5: Solve for x
    x = 57,726,641.52/8,970.97
  6. Step 6: Final answer
    x = 6,434.83

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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.