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Finding the Fourth Proportional to 57,400.12, 86,100.06 and 15,847

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Solution

The fourth proportional to 57,400.12, 86,100.06 and 15,847 is: 23,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400.12 : 86,100.06 = 15,847 : x
  2. Step 2: Convert to fraction form
    57,400.12/86,100.06 = 15,847/x
  3. Step 3: Cross multiply
    57,400.12x = 86,100.06 × 15,847
  4. Step 4: Simplify right side
    57,400.12x = 1,364,427,650.82
  5. Step 5: Solve for x
    x = 1,364,427,650.82/57,400.12
  6. Step 6: Final answer
    x = 23,770.47

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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.