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Finding the Fourth Proportional to 2,560.64, 3,841.53 and 918.38

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Solution

The fourth proportional to 2,560.64, 3,841.53 and 918.38 is: 1,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.64 : 3,841.53 = 918.38 : x
  2. Step 2: Convert to fraction form
    2,560.64/3,841.53 = 918.38/x
  3. Step 3: Cross multiply
    2,560.64x = 3,841.53 × 918.38
  4. Step 4: Simplify right side
    2,560.64x = 3,527,984.32
  5. Step 5: Solve for x
    x = 3,527,984.32/2,560.64
  6. Step 6: Final answer
    x = 1,377.77

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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.