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Finding the Fourth Proportional to 31,779.71, 47,654.41 and 11,775.48

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Solution

The fourth proportional to 31,779.71, 47,654.41 and 11,775.48 is: 17,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.71 : 47,654.41 = 11,775.48 : x
  2. Step 2: Convert to fraction form
    31,779.71/47,654.41 = 11,775.48/x
  3. Step 3: Cross multiply
    31,779.71x = 47,654.41 × 11,775.48
  4. Step 4: Simplify right side
    31,779.71x = 561,153,551.87
  5. Step 5: Solve for x
    x = 561,153,551.87/31,779.71
  6. Step 6: Final answer
    x = 17,657.60

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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.