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Finding the Fourth Proportional to 2,549.76, 3,824.56 and 818.40

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Solution

The fourth proportional to 2,549.76, 3,824.56 and 818.40 is: 1,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.76 : 3,824.56 = 818.40 : x
  2. Step 2: Convert to fraction form
    2,549.76/3,824.56 = 818.40/x
  3. Step 3: Cross multiply
    2,549.76x = 3,824.56 × 818.40
  4. Step 4: Simplify right side
    2,549.76x = 3,130,019.90
  5. Step 5: Solve for x
    x = 3,130,019.90/2,549.76
  6. Step 6: Final answer
    x = 1,227.57

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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.