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Finding the Fourth Proportional to 31,061.66, 42,863.78 and 16,914.46

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Solution

The fourth proportional to 31,061.66, 42,863.78 and 16,914.46 is: 23,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,061.66 : 42,863.78 = 16,914.46 : x
  2. Step 2: Convert to fraction form
    31,061.66/42,863.78 = 16,914.46/x
  3. Step 3: Cross multiply
    31,061.66x = 42,863.78 × 16,914.46
  4. Step 4: Simplify right side
    31,061.66x = 725,017,692.26
  5. Step 5: Solve for x
    x = 725,017,692.26/31,061.66
  6. Step 6: Final answer
    x = 23,341.24

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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.