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Finding the Fourth Proportional to 31,386.72, 47,080.20 and 8,012.40

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Solution

The fourth proportional to 31,386.72, 47,080.20 and 8,012.40 is: 12,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.72 : 47,080.20 = 8,012.40 : x
  2. Step 2: Convert to fraction form
    31,386.72/47,080.20 = 8,012.40/x
  3. Step 3: Cross multiply
    31,386.72x = 47,080.20 × 8,012.40
  4. Step 4: Simplify right side
    31,386.72x = 377,225,394.48
  5. Step 5: Solve for x
    x = 377,225,394.48/31,386.72
  6. Step 6: Final answer
    x = 12,018.63

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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.