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Finding the Fourth Proportional to 31,910.95, 47,871.49 and 9,719.18

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Solution

The fourth proportional to 31,910.95, 47,871.49 and 9,719.18 is: 14,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.95 : 47,871.49 = 9,719.18 : x
  2. Step 2: Convert to fraction form
    31,910.95/47,871.49 = 9,719.18/x
  3. Step 3: Cross multiply
    31,910.95x = 47,871.49 × 9,719.18
  4. Step 4: Simplify right side
    31,910.95x = 465,271,628.18
  5. Step 5: Solve for x
    x = 465,271,628.18/31,910.95
  6. Step 6: Final answer
    x = 14,580.31

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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.