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Finding the Fourth Proportional to 12,586.29, 18,871.12 and 7,040.22

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Solution

The fourth proportional to 12,586.29, 18,871.12 and 7,040.22 is: 10,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.29 : 18,871.12 = 7,040.22 : x
  2. Step 2: Convert to fraction form
    12,586.29/18,871.12 = 7,040.22/x
  3. Step 3: Cross multiply
    12,586.29x = 18,871.12 × 7,040.22
  4. Step 4: Simplify right side
    12,586.29x = 132,856,836.45
  5. Step 5: Solve for x
    x = 132,856,836.45/12,586.29
  6. Step 6: Final answer
    x = 10,555.68

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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.