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Finding the Fourth Proportional to 2,540.61, 3,812.11 and 897.93

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Solution

The fourth proportional to 2,540.61, 3,812.11 and 897.93 is: 1,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.61 : 3,812.11 = 897.93 : x
  2. Step 2: Convert to fraction form
    2,540.61/3,812.11 = 897.93/x
  3. Step 3: Cross multiply
    2,540.61x = 3,812.11 × 897.93
  4. Step 4: Simplify right side
    2,540.61x = 3,423,005.69
  5. Step 5: Solve for x
    x = 3,423,005.69/2,540.61
  6. Step 6: Final answer
    x = 1,347.32

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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.