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Finding the Fourth Proportional to 2,543.93, 3,814.93 and 877.58

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Solution

The fourth proportional to 2,543.93, 3,814.93 and 877.58 is: 1,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.93 : 3,814.93 = 877.58 : x
  2. Step 2: Convert to fraction form
    2,543.93/3,814.93 = 877.58/x
  3. Step 3: Cross multiply
    2,543.93x = 3,814.93 × 877.58
  4. Step 4: Simplify right side
    2,543.93x = 3,347,906.27
  5. Step 5: Solve for x
    x = 3,347,906.27/2,543.93
  6. Step 6: Final answer
    x = 1,316.04

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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.