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Finding the Fourth Proportional to 10,425.54, 15,599.10 and 7,311.64

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Solution

The fourth proportional to 10,425.54, 15,599.10 and 7,311.64 is: 10,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.54 : 15,599.10 = 7,311.64 : x
  2. Step 2: Convert to fraction form
    10,425.54/15,599.10 = 7,311.64/x
  3. Step 3: Cross multiply
    10,425.54x = 15,599.10 × 7,311.64
  4. Step 4: Simplify right side
    10,425.54x = 114,055,003.52
  5. Step 5: Solve for x
    x = 114,055,003.52/10,425.54
  6. Step 6: Final answer
    x = 10,939.96

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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.