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Finding the Fourth Proportional to 2,711.76, 3,740.32 and 2,621.44

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Solution

The fourth proportional to 2,711.76, 3,740.32 and 2,621.44 is: 3,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.76 : 3,740.32 = 2,621.44 : x
  2. Step 2: Convert to fraction form
    2,711.76/3,740.32 = 2,621.44/x
  3. Step 3: Cross multiply
    2,711.76x = 3,740.32 × 2,621.44
  4. Step 4: Simplify right side
    2,711.76x = 9,805,024.46
  5. Step 5: Solve for x
    x = 9,805,024.46/2,711.76
  6. Step 6: Final answer
    x = 3,615.74

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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.