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Finding the Fourth Proportional to 2,394.08, 3,591.12 and 854.72

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Solution

The fourth proportional to 2,394.08, 3,591.12 and 854.72 is: 1,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.08 : 3,591.12 = 854.72 : x
  2. Step 2: Convert to fraction form
    2,394.08/3,591.12 = 854.72/x
  3. Step 3: Cross multiply
    2,394.08x = 3,591.12 × 854.72
  4. Step 4: Simplify right side
    2,394.08x = 3,069,402.09
  5. Step 5: Solve for x
    x = 3,069,402.09/2,394.08
  6. Step 6: Final answer
    x = 1,282.08

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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.