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Finding the Fourth Proportional to 8,687.57, 13,031.30 and 2,113.82

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Solution

The fourth proportional to 8,687.57, 13,031.30 and 2,113.82 is: 3,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.57 : 13,031.30 = 2,113.82 : x
  2. Step 2: Convert to fraction form
    8,687.57/13,031.30 = 2,113.82/x
  3. Step 3: Cross multiply
    8,687.57x = 13,031.30 × 2,113.82
  4. Step 4: Simplify right side
    8,687.57x = 27,545,746.84
  5. Step 5: Solve for x
    x = 27,545,746.84/8,687.57
  6. Step 6: Final answer
    x = 3,170.71

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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.