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Finding the Fourth Proportional to 15,022.50, 20,731.08 and 8,398.50

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Solution

The fourth proportional to 15,022.50, 20,731.08 and 8,398.50 is: 11,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.50 : 20,731.08 = 8,398.50 : x
  2. Step 2: Convert to fraction form
    15,022.50/20,731.08 = 8,398.50/x
  3. Step 3: Cross multiply
    15,022.50x = 20,731.08 × 8,398.50
  4. Step 4: Simplify right side
    15,022.50x = 174,109,975.38
  5. Step 5: Solve for x
    x = 174,109,975.38/15,022.50
  6. Step 6: Final answer
    x = 11,589.95

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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.