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Finding the Fourth Proportional to 31,886.90, 47,764.46 and 18,699.56

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Solution

The fourth proportional to 31,886.90, 47,764.46 and 18,699.56 is: 28,010.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.90 : 47,764.46 = 18,699.56 : x
  2. Step 2: Convert to fraction form
    31,886.90/47,764.46 = 18,699.56/x
  3. Step 3: Cross multiply
    31,886.90x = 47,764.46 × 18,699.56
  4. Step 4: Simplify right side
    31,886.90x = 893,174,385.64
  5. Step 5: Solve for x
    x = 893,174,385.64/31,886.90
  6. Step 6: Final answer
    x = 28,010.70

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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.