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Finding the Fourth Proportional to 15,919.50, 23,711.09 and 15,086.82

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Solution

The fourth proportional to 15,919.50, 23,711.09 and 15,086.82 is: 22,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919.50 : 23,711.09 = 15,086.82 : x
  2. Step 2: Convert to fraction form
    15,919.50/23,711.09 = 15,086.82/x
  3. Step 3: Cross multiply
    15,919.50x = 23,711.09 × 15,086.82
  4. Step 4: Simplify right side
    15,919.50x = 357,724,871.40
  5. Step 5: Solve for x
    x = 357,724,871.40/15,919.50
  6. Step 6: Final answer
    x = 22,470.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.