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Finding the Fourth Proportional to 7,771.28, 10,718.87 and 7,514.10

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Solution

The fourth proportional to 7,771.28, 10,718.87 and 7,514.10 is: 10,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.28 : 10,718.87 = 7,514.10 : x
  2. Step 2: Convert to fraction form
    7,771.28/10,718.87 = 7,514.10/x
  3. Step 3: Cross multiply
    7,771.28x = 10,718.87 × 7,514.10
  4. Step 4: Simplify right side
    7,771.28x = 80,542,623.50
  5. Step 5: Solve for x
    x = 80,542,623.50/7,771.28
  6. Step 6: Final answer
    x = 10,364.15

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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.