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Finding the Fourth Proportional to 7,717.80, 10,650.48 and 4,180.80

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Solution

The fourth proportional to 7,717.80, 10,650.48 and 4,180.80 is: 5,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.80 : 10,650.48 = 4,180.80 : x
  2. Step 2: Convert to fraction form
    7,717.80/10,650.48 = 4,180.80/x
  3. Step 3: Cross multiply
    7,717.80x = 10,650.48 × 4,180.80
  4. Step 4: Simplify right side
    7,717.80x = 44,527,526.78
  5. Step 5: Solve for x
    x = 44,527,526.78/7,717.80
  6. Step 6: Final answer
    x = 5,769.46

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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.