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Finding the Fourth Proportional to 7,718.99, 10,652.17 and 4,182.20

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Solution

The fourth proportional to 7,718.99, 10,652.17 and 4,182.20 is: 5,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.99 : 10,652.17 = 4,182.20 : x
  2. Step 2: Convert to fraction form
    7,718.99/10,652.17 = 4,182.20/x
  3. Step 3: Cross multiply
    7,718.99x = 10,652.17 × 4,182.20
  4. Step 4: Simplify right side
    7,718.99x = 44,549,517.80
  5. Step 5: Solve for x
    x = 44,549,517.80/7,718.99
  6. Step 6: Final answer
    x = 5,771.42

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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.