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Finding the Fourth Proportional to 2,543.70, 3,816.36 and 901.29

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Solution

The fourth proportional to 2,543.70, 3,816.36 and 901.29 is: 1,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.70 : 3,816.36 = 901.29 : x
  2. Step 2: Convert to fraction form
    2,543.70/3,816.36 = 901.29/x
  3. Step 3: Cross multiply
    2,543.70x = 3,816.36 × 901.29
  4. Step 4: Simplify right side
    2,543.70x = 3,439,647.10
  5. Step 5: Solve for x
    x = 3,439,647.10/2,543.70
  6. Step 6: Final answer
    x = 1,352.22

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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.