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Finding the Fourth Proportional to 31,008.27, 42,811.16 and 20,416.17

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Solution

The fourth proportional to 31,008.27, 42,811.16 and 20,416.17 is: 28,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.27 : 42,811.16 = 20,416.17 : x
  2. Step 2: Convert to fraction form
    31,008.27/42,811.16 = 20,416.17/x
  3. Step 3: Cross multiply
    31,008.27x = 42,811.16 × 20,416.17
  4. Step 4: Simplify right side
    31,008.27x = 874,039,818.38
  5. Step 5: Solve for x
    x = 874,039,818.38/31,008.27
  6. Step 6: Final answer
    x = 28,187.31

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Half scale
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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.