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Finding the Fourth Proportional to 2,697.40, 4,017.75 and 2,571

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Solution

The fourth proportional to 2,697.40, 4,017.75 and 2,571 is: 3,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.40 : 4,017.75 = 2,571 : x
  2. Step 2: Convert to fraction form
    2,697.40/4,017.75 = 2,571/x
  3. Step 3: Cross multiply
    2,697.40x = 4,017.75 × 2,571
  4. Step 4: Simplify right side
    2,697.40x = 10,329,635.25
  5. Step 5: Solve for x
    x = 10,329,635.25/2,697.40
  6. Step 6: Final answer
    x = 3,829.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.