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Finding the Fourth Proportional to 31,386.71, 47,080.03 and 8,013.16

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Solution

The fourth proportional to 31,386.71, 47,080.03 and 8,013.16 is: 12,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.71 : 47,080.03 = 8,013.16 : x
  2. Step 2: Convert to fraction form
    31,386.71/47,080.03 = 8,013.16/x
  3. Step 3: Cross multiply
    31,386.71x = 47,080.03 × 8,013.16
  4. Step 4: Simplify right side
    31,386.71x = 377,259,813.19
  5. Step 5: Solve for x
    x = 377,259,813.19/31,386.71
  6. Step 6: Final answer
    x = 12,019.73

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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.