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Finding the Fourth Proportional to 2,560.11, 3,840.50 and 916.84

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Solution

The fourth proportional to 2,560.11, 3,840.50 and 916.84 is: 1,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.11 : 3,840.50 = 916.84 : x
  2. Step 2: Convert to fraction form
    2,560.11/3,840.50 = 916.84/x
  3. Step 3: Cross multiply
    2,560.11x = 3,840.50 × 916.84
  4. Step 4: Simplify right side
    2,560.11x = 3,521,124.02
  5. Step 5: Solve for x
    x = 3,521,124.02/2,560.11
  6. Step 6: Final answer
    x = 1,375.38

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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.