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Finding the Fourth Proportional to 31,871.40, 47,807.10 and 30,661.80

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Solution

The fourth proportional to 31,871.40, 47,807.10 and 30,661.80 is: 45,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.40 : 47,807.10 = 30,661.80 : x
  2. Step 2: Convert to fraction form
    31,871.40/47,807.10 = 30,661.80/x
  3. Step 3: Cross multiply
    31,871.40x = 47,807.10 × 30,661.80
  4. Step 4: Simplify right side
    31,871.40x = 1,465,851,738.78
  5. Step 5: Solve for x
    x = 1,465,851,738.78/31,871.40
  6. Step 6: Final answer
    x = 45,992.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.