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Finding the Fourth Proportional to 2,557.76, 3,843.95 and 2,384.42

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Solution

The fourth proportional to 2,557.76, 3,843.95 and 2,384.42 is: 3,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.76 : 3,843.95 = 2,384.42 : x
  2. Step 2: Convert to fraction form
    2,557.76/3,843.95 = 2,384.42/x
  3. Step 3: Cross multiply
    2,557.76x = 3,843.95 × 2,384.42
  4. Step 4: Simplify right side
    2,557.76x = 9,165,560.12
  5. Step 5: Solve for x
    x = 9,165,560.12/2,557.76
  6. Step 6: Final answer
    x = 3,583.44

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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.