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Finding the Fourth Proportional to 31,094.46, 42,910.28 and 16,947.28

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Solution

The fourth proportional to 31,094.46, 42,910.28 and 16,947.28 is: 23,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.46 : 42,910.28 = 16,947.28 : x
  2. Step 2: Convert to fraction form
    31,094.46/42,910.28 = 16,947.28/x
  3. Step 3: Cross multiply
    31,094.46x = 42,910.28 × 16,947.28
  4. Step 4: Simplify right side
    31,094.46x = 727,212,530.04
  5. Step 5: Solve for x
    x = 727,212,530.04/31,094.46
  6. Step 6: Final answer
    x = 23,387.21

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1.5x scale

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.