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Finding the Fourth Proportional to 31,754.70, 43,732.85 and 31,065.84

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Solution

The fourth proportional to 31,754.70, 43,732.85 and 31,065.84 is: 42,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.70 : 43,732.85 = 31,065.84 : x
  2. Step 2: Convert to fraction form
    31,754.70/43,732.85 = 31,065.84/x
  3. Step 3: Cross multiply
    31,754.70x = 43,732.85 × 31,065.84
  4. Step 4: Simplify right side
    31,754.70x = 1,358,597,565.51
  5. Step 5: Solve for x
    x = 1,358,597,565.51/31,754.70
  6. Step 6: Final answer
    x = 42,784.14

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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.