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Finding the Fourth Proportional to 2,541.30, 3,812.40 and 897.90

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Solution

The fourth proportional to 2,541.30, 3,812.40 and 897.90 is: 1,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.30 : 3,812.40 = 897.90 : x
  2. Step 2: Convert to fraction form
    2,541.30/3,812.40 = 897.90/x
  3. Step 3: Cross multiply
    2,541.30x = 3,812.40 × 897.90
  4. Step 4: Simplify right side
    2,541.30x = 3,423,153.96
  5. Step 5: Solve for x
    x = 3,423,153.96/2,541.30
  6. Step 6: Final answer
    x = 1,347.01

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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.