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Finding the Fourth Proportional to 31,386.72, 47,080.04 and 8,013.14

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Solution

The fourth proportional to 31,386.72, 47,080.04 and 8,013.14 is: 12,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.72 : 47,080.04 = 8,013.14 : x
  2. Step 2: Convert to fraction form
    31,386.72/47,080.04 = 8,013.14/x
  3. Step 3: Cross multiply
    31,386.72x = 47,080.04 × 8,013.14
  4. Step 4: Simplify right side
    31,386.72x = 377,258,951.73
  5. Step 5: Solve for x
    x = 377,258,951.73/31,386.72
  6. Step 6: Final answer
    x = 12,019.70

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1.5x scale

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.