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Finding the Fourth Proportional to 2,560.33, 3,840.50 and 916.98

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Solution

The fourth proportional to 2,560.33, 3,840.50 and 916.98 is: 1,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.33 : 3,840.50 = 916.98 : x
  2. Step 2: Convert to fraction form
    2,560.33/3,840.50 = 916.98/x
  3. Step 3: Cross multiply
    2,560.33x = 3,840.50 × 916.98
  4. Step 4: Simplify right side
    2,560.33x = 3,521,661.69
  5. Step 5: Solve for x
    x = 3,521,661.69/2,560.33
  6. Step 6: Final answer
    x = 1,375.47

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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.