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Finding the Fourth Proportional to 51,882.64, 71,598.12 and 30,672.40

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Solution

The fourth proportional to 51,882.64, 71,598.12 and 30,672.40 is: 42,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882.64 : 71,598.12 = 30,672.40 : x
  2. Step 2: Convert to fraction form
    51,882.64/71,598.12 = 30,672.40/x
  3. Step 3: Cross multiply
    51,882.64x = 71,598.12 × 30,672.40
  4. Step 4: Simplify right side
    51,882.64x = 2,196,086,175.89
  5. Step 5: Solve for x
    x = 2,196,086,175.89/51,882.64
  6. Step 6: Final answer
    x = 42,327.96

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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.