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Finding the Fourth Proportional to 15,098.20, 20,835.71 and 8,384.25

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Solution

The fourth proportional to 15,098.20, 20,835.71 and 8,384.25 is: 11,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.20 : 20,835.71 = 8,384.25 : x
  2. Step 2: Convert to fraction form
    15,098.20/20,835.71 = 8,384.25/x
  3. Step 3: Cross multiply
    15,098.20x = 20,835.71 × 8,384.25
  4. Step 4: Simplify right side
    15,098.20x = 174,691,801.57
  5. Step 5: Solve for x
    x = 174,691,801.57/15,098.20
  6. Step 6: Final answer
    x = 11,570.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.