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Finding the Fourth Proportional to 10,321.70, 15,475.10 and 8,349.75

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Solution

The fourth proportional to 10,321.70, 15,475.10 and 8,349.75 is: 12,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.70 : 15,475.10 = 8,349.75 : x
  2. Step 2: Convert to fraction form
    10,321.70/15,475.10 = 8,349.75/x
  3. Step 3: Cross multiply
    10,321.70x = 15,475.10 × 8,349.75
  4. Step 4: Simplify right side
    10,321.70x = 129,213,174.48
  5. Step 5: Solve for x
    x = 129,213,174.48/10,321.70
  6. Step 6: Final answer
    x = 12,518.60

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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.