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Finding the Fourth Proportional to 2,175.97, 3,264.53 and 615.98

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Solution

The fourth proportional to 2,175.97, 3,264.53 and 615.98 is: 924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.97 : 3,264.53 = 615.98 : x
  2. Step 2: Convert to fraction form
    2,175.97/3,264.53 = 615.98/x
  3. Step 3: Cross multiply
    2,175.97x = 3,264.53 × 615.98
  4. Step 4: Simplify right side
    2,175.97x = 2,010,885.19
  5. Step 5: Solve for x
    x = 2,010,885.19/2,175.97
  6. Step 6: Final answer
    x = 924.13

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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.