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Finding the Fourth Proportional to 31,842.15, 47,755.31 and 13,117.11

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Solution

The fourth proportional to 31,842.15, 47,755.31 and 13,117.11 is: 19,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.15 : 47,755.31 = 13,117.11 : x
  2. Step 2: Convert to fraction form
    31,842.15/47,755.31 = 13,117.11/x
  3. Step 3: Cross multiply
    31,842.15x = 47,755.31 × 13,117.11
  4. Step 4: Simplify right side
    31,842.15x = 626,411,588.77
  5. Step 5: Solve for x
    x = 626,411,588.77/31,842.15
  6. Step 6: Final answer
    x = 19,672.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.