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Finding the Fourth Proportional to 2,103.44, 3,154.88 and 870.68

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Solution

The fourth proportional to 2,103.44, 3,154.88 and 870.68 is: 1,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.44 : 3,154.88 = 870.68 : x
  2. Step 2: Convert to fraction form
    2,103.44/3,154.88 = 870.68/x
  3. Step 3: Cross multiply
    2,103.44x = 3,154.88 × 870.68
  4. Step 4: Simplify right side
    2,103.44x = 2,746,890.92
  5. Step 5: Solve for x
    x = 2,746,890.92/2,103.44
  6. Step 6: Final answer
    x = 1,305.90

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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.