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Finding the Fourth Proportional to 2,387.12, 3,582.12 and 847.92

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Solution

The fourth proportional to 2,387.12, 3,582.12 and 847.92 is: 1,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.12 : 3,582.12 = 847.92 : x
  2. Step 2: Convert to fraction form
    2,387.12/3,582.12 = 847.92/x
  3. Step 3: Cross multiply
    2,387.12x = 3,582.12 × 847.92
  4. Step 4: Simplify right side
    2,387.12x = 3,037,351.19
  5. Step 5: Solve for x
    x = 3,037,351.19/2,387.12
  6. Step 6: Final answer
    x = 1,272.39

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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.