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Finding the Fourth Proportional to 10,915.80, 16,373.70 and 7,789.20

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Solution

The fourth proportional to 10,915.80, 16,373.70 and 7,789.20 is: 11,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.80 : 16,373.70 = 7,789.20 : x
  2. Step 2: Convert to fraction form
    10,915.80/16,373.70 = 7,789.20/x
  3. Step 3: Cross multiply
    10,915.80x = 16,373.70 × 7,789.20
  4. Step 4: Simplify right side
    10,915.80x = 127,538,024.04
  5. Step 5: Solve for x
    x = 127,538,024.04/10,915.80
  6. Step 6: Final answer
    x = 11,683.80

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1.5x scale

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.