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Finding the Fourth Proportional to 2,102.72, 3,154.68 and 870.19

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Solution

The fourth proportional to 2,102.72, 3,154.68 and 870.19 is: 1,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.72 : 3,154.68 = 870.19 : x
  2. Step 2: Convert to fraction form
    2,102.72/3,154.68 = 870.19/x
  3. Step 3: Cross multiply
    2,102.72x = 3,154.68 × 870.19
  4. Step 4: Simplify right side
    2,102.72x = 2,745,163.10
  5. Step 5: Solve for x
    x = 2,745,163.10/2,102.72
  6. Step 6: Final answer
    x = 1,305.53

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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.