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Finding the Fourth Proportional to 2,560.34, 3,840.92 and 916.85

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Solution

The fourth proportional to 2,560.34, 3,840.92 and 916.85 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.34 : 3,840.92 = 916.85 : x
  2. Step 2: Convert to fraction form
    2,560.34/3,840.92 = 916.85/x
  3. Step 3: Cross multiply
    2,560.34x = 3,840.92 × 916.85
  4. Step 4: Simplify right side
    2,560.34x = 3,521,561.28
  5. Step 5: Solve for x
    x = 3,521,561.28/2,560.34
  6. Step 6: Final answer
    x = 1,375.43

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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.