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Finding the Fourth Proportional to 2,543.07, 3,815.01 and 1,244.64

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Solution

The fourth proportional to 2,543.07, 3,815.01 and 1,244.64 is: 1,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.07 : 3,815.01 = 1,244.64 : x
  2. Step 2: Convert to fraction form
    2,543.07/3,815.01 = 1,244.64/x
  3. Step 3: Cross multiply
    2,543.07x = 3,815.01 × 1,244.64
  4. Step 4: Simplify right side
    2,543.07x = 4,748,314.05
  5. Step 5: Solve for x
    x = 4,748,314.05/2,543.07
  6. Step 6: Final answer
    x = 1,867.16

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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.