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Finding the Fourth Proportional to 2,855.52, 3,944.16 and 2,462.40

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Solution

The fourth proportional to 2,855.52, 3,944.16 and 2,462.40 is: 3,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.52 : 3,944.16 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    2,855.52/3,944.16 = 2,462.40/x
  3. Step 3: Cross multiply
    2,855.52x = 3,944.16 × 2,462.40
  4. Step 4: Simplify right side
    2,855.52x = 9,712,099.58
  5. Step 5: Solve for x
    x = 9,712,099.58/2,855.52
  6. Step 6: Final answer
    x = 3,401.17

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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.