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Finding the Fourth Proportional to 2,104.08, 3,153.84 and 870.70

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Solution

The fourth proportional to 2,104.08, 3,153.84 and 870.70 is: 1,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.08 : 3,153.84 = 870.70 : x
  2. Step 2: Convert to fraction form
    2,104.08/3,153.84 = 870.70/x
  3. Step 3: Cross multiply
    2,104.08x = 3,153.84 × 870.70
  4. Step 4: Simplify right side
    2,104.08x = 2,746,043.25
  5. Step 5: Solve for x
    x = 2,746,043.25/2,104.08
  6. Step 6: Final answer
    x = 1,305.11

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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.