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Finding the Fourth Proportional to 15,123.84, 20,856 and 9,532.80

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Solution

The fourth proportional to 15,123.84, 20,856 and 9,532.80 is: 13,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.84 : 20,856 = 9,532.80 : x
  2. Step 2: Convert to fraction form
    15,123.84/20,856 = 9,532.80/x
  3. Step 3: Cross multiply
    15,123.84x = 20,856 × 9,532.80
  4. Step 4: Simplify right side
    15,123.84x = 198,816,076.80
  5. Step 5: Solve for x
    x = 198,816,076.80/15,123.84
  6. Step 6: Final answer
    x = 13,145.87

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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.