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Finding the Fourth Proportional to 16,856.31, 25,300 and 8,542.22

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Solution

The fourth proportional to 16,856.31, 25,300 and 8,542.22 is: 12,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.31 : 25,300 = 8,542.22 : x
  2. Step 2: Convert to fraction form
    16,856.31/25,300 = 8,542.22/x
  3. Step 3: Cross multiply
    16,856.31x = 25,300 × 8,542.22
  4. Step 4: Simplify right side
    16,856.31x = 216,118,166.00
  5. Step 5: Solve for x
    x = 216,118,166.00/16,856.31
  6. Step 6: Final answer
    x = 12,821.20

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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.