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Finding the Fourth Proportional to 2,540.36, 3,810.54 and 896.89

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Solution

The fourth proportional to 2,540.36, 3,810.54 and 896.89 is: 1,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.36 : 3,810.54 = 896.89 : x
  2. Step 2: Convert to fraction form
    2,540.36/3,810.54 = 896.89/x
  3. Step 3: Cross multiply
    2,540.36x = 3,810.54 × 896.89
  4. Step 4: Simplify right side
    2,540.36x = 3,417,616.17
  5. Step 5: Solve for x
    x = 3,417,616.17/2,540.36
  6. Step 6: Final answer
    x = 1,345.33

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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.