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Finding the Fourth Proportional to 2,304.33, 3,454.07 and 987.68

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Solution

The fourth proportional to 2,304.33, 3,454.07 and 987.68 is: 1,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.33 : 3,454.07 = 987.68 : x
  2. Step 2: Convert to fraction form
    2,304.33/3,454.07 = 987.68/x
  3. Step 3: Cross multiply
    2,304.33x = 3,454.07 × 987.68
  4. Step 4: Simplify right side
    2,304.33x = 3,411,493.65
  5. Step 5: Solve for x
    x = 3,411,493.65/2,304.33
  6. Step 6: Final answer
    x = 1,480.47

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1.5x scale

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.