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Finding the Fourth Proportional to 2,560.13, 3,840.38 and 893.96

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Solution

The fourth proportional to 2,560.13, 3,840.38 and 893.96 is: 1,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.13 : 3,840.38 = 893.96 : x
  2. Step 2: Convert to fraction form
    2,560.13/3,840.38 = 893.96/x
  3. Step 3: Cross multiply
    2,560.13x = 3,840.38 × 893.96
  4. Step 4: Simplify right side
    2,560.13x = 3,433,122.43
  5. Step 5: Solve for x
    x = 3,433,122.43/2,560.13
  6. Step 6: Final answer
    x = 1,341.00

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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.