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Finding the Fourth Proportional to 31,985.64, 47,978.46 and 16,393.32

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Solution

The fourth proportional to 31,985.64, 47,978.46 and 16,393.32 is: 24,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,985.64 : 47,978.46 = 16,393.32 : x
  2. Step 2: Convert to fraction form
    31,985.64/47,978.46 = 16,393.32/x
  3. Step 3: Cross multiply
    31,985.64x = 47,978.46 × 16,393.32
  4. Step 4: Simplify right side
    31,985.64x = 786,526,247.89
  5. Step 5: Solve for x
    x = 786,526,247.89/31,985.64
  6. Step 6: Final answer
    x = 24,589.98

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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.