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Finding the Fourth Proportional to 2,574.88, 3,862.32 and 627.08

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Solution

The fourth proportional to 2,574.88, 3,862.32 and 627.08 is: 940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.88 : 3,862.32 = 627.08 : x
  2. Step 2: Convert to fraction form
    2,574.88/3,862.32 = 627.08/x
  3. Step 3: Cross multiply
    2,574.88x = 3,862.32 × 627.08
  4. Step 4: Simplify right side
    2,574.88x = 2,421,983.63
  5. Step 5: Solve for x
    x = 2,421,983.63/2,574.88
  6. Step 6: Final answer
    x = 940.62

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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.