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Finding the Fourth Proportional to 31,953.40, 47,894.10 and 15,321.40

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Solution

The fourth proportional to 31,953.40, 47,894.10 and 15,321.40 is: 22,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.40 : 47,894.10 = 15,321.40 : x
  2. Step 2: Convert to fraction form
    31,953.40/47,894.10 = 15,321.40/x
  3. Step 3: Cross multiply
    31,953.40x = 47,894.10 × 15,321.40
  4. Step 4: Simplify right side
    31,953.40x = 733,804,663.74
  5. Step 5: Solve for x
    x = 733,804,663.74/31,953.40
  6. Step 6: Final answer
    x = 22,964.84

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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.