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Finding the Fourth Proportional to 8,711.57, 12,010.05 and 5,986.01

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Solution

The fourth proportional to 8,711.57, 12,010.05 and 5,986.01 is: 8,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.57 : 12,010.05 = 5,986.01 : x
  2. Step 2: Convert to fraction form
    8,711.57/12,010.05 = 5,986.01/x
  3. Step 3: Cross multiply
    8,711.57x = 12,010.05 × 5,986.01
  4. Step 4: Simplify right side
    8,711.57x = 71,892,219.35
  5. Step 5: Solve for x
    x = 71,892,219.35/8,711.57
  6. Step 6: Final answer
    x = 8,252.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.