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Finding the Fourth Proportional to 12,586.70, 18,871.83 and 7,040.66

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Solution

The fourth proportional to 12,586.70, 18,871.83 and 7,040.66 is: 10,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.70 : 18,871.83 = 7,040.66 : x
  2. Step 2: Convert to fraction form
    12,586.70/18,871.83 = 7,040.66/x
  3. Step 3: Cross multiply
    12,586.70x = 18,871.83 × 7,040.66
  4. Step 4: Simplify right side
    12,586.70x = 132,870,138.61
  5. Step 5: Solve for x
    x = 132,870,138.61/12,586.70
  6. Step 6: Final answer
    x = 10,556.39

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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.