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Finding the Fourth Proportional to 10,658.86, 15,974.16 and 5,660.20

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Solution

The fourth proportional to 10,658.86, 15,974.16 and 5,660.20 is: 8,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.86 : 15,974.16 = 5,660.20 : x
  2. Step 2: Convert to fraction form
    10,658.86/15,974.16 = 5,660.20/x
  3. Step 3: Cross multiply
    10,658.86x = 15,974.16 × 5,660.20
  4. Step 4: Simplify right side
    10,658.86x = 90,416,940.43
  5. Step 5: Solve for x
    x = 90,416,940.43/10,658.86
  6. Step 6: Final answer
    x = 8,482.80

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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.