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Finding the Fourth Proportional to 2,175.90, 3,263.19 and 615.78

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Solution

The fourth proportional to 2,175.90, 3,263.19 and 615.78 is: 923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.90 : 3,263.19 = 615.78 : x
  2. Step 2: Convert to fraction form
    2,175.90/3,263.19 = 615.78/x
  3. Step 3: Cross multiply
    2,175.90x = 3,263.19 × 615.78
  4. Step 4: Simplify right side
    2,175.90x = 2,009,407.14
  5. Step 5: Solve for x
    x = 2,009,407.14/2,175.90
  6. Step 6: Final answer
    x = 923.48

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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.