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Finding the Fourth Proportional to 31,407.48, 47,111.22 and 11,691

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Solution

The fourth proportional to 31,407.48, 47,111.22 and 11,691 is: 17,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.48 : 47,111.22 = 11,691 : x
  2. Step 2: Convert to fraction form
    31,407.48/47,111.22 = 11,691/x
  3. Step 3: Cross multiply
    31,407.48x = 47,111.22 × 11,691
  4. Step 4: Simplify right side
    31,407.48x = 550,777,273.02
  5. Step 5: Solve for x
    x = 550,777,273.02/31,407.48
  6. Step 6: Final answer
    x = 17,536.50

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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.