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Finding the Fourth Proportional to 31,127.50, 42,955.95 and 16,980.40

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Solution

The fourth proportional to 31,127.50, 42,955.95 and 16,980.40 is: 23,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.50 : 42,955.95 = 16,980.40 : x
  2. Step 2: Convert to fraction form
    31,127.50/42,955.95 = 16,980.40/x
  3. Step 3: Cross multiply
    31,127.50x = 42,955.95 × 16,980.40
  4. Step 4: Simplify right side
    31,127.50x = 729,409,213.38
  5. Step 5: Solve for x
    x = 729,409,213.38/31,127.50
  6. Step 6: Final answer
    x = 23,432.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.