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Finding the Fourth Proportional to 31,142, 46,712.76 and 8,955.56

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Solution

The fourth proportional to 31,142, 46,712.76 and 8,955.56 is: 13,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142 : 46,712.76 = 8,955.56 : x
  2. Step 2: Convert to fraction form
    31,142/46,712.76 = 8,955.56/x
  3. Step 3: Cross multiply
    31,142x = 46,712.76 × 8,955.56
  4. Step 4: Simplify right side
    31,142x = 418,338,924.95
  5. Step 5: Solve for x
    x = 418,338,924.95/31,142
  6. Step 6: Final answer
    x = 13,433.27

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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.