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Finding the Fourth Proportional to 2,543.10, 3,813.93 and 899.43

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Solution

The fourth proportional to 2,543.10, 3,813.93 and 899.43 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.10 : 3,813.93 = 899.43 : x
  2. Step 2: Convert to fraction form
    2,543.10/3,813.93 = 899.43/x
  3. Step 3: Cross multiply
    2,543.10x = 3,813.93 × 899.43
  4. Step 4: Simplify right side
    2,543.10x = 3,430,363.06
  5. Step 5: Solve for x
    x = 3,430,363.06/2,543.10
  6. Step 6: Final answer
    x = 1,348.89

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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.