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Finding the Fourth Proportional to 2,387.88, 3,583.26 and 928.26

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Solution

The fourth proportional to 2,387.88, 3,583.26 and 928.26 is: 1,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.88 : 3,583.26 = 928.26 : x
  2. Step 2: Convert to fraction form
    2,387.88/3,583.26 = 928.26/x
  3. Step 3: Cross multiply
    2,387.88x = 3,583.26 × 928.26
  4. Step 4: Simplify right side
    2,387.88x = 3,326,196.93
  5. Step 5: Solve for x
    x = 3,326,196.93/2,387.88
  6. Step 6: Final answer
    x = 1,392.95

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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.