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Finding the Fourth Proportional to 3,178.64, 4,767.96 and 870.14

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Solution

The fourth proportional to 3,178.64, 4,767.96 and 870.14 is: 1,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.64 : 4,767.96 = 870.14 : x
  2. Step 2: Convert to fraction form
    3,178.64/4,767.96 = 870.14/x
  3. Step 3: Cross multiply
    3,178.64x = 4,767.96 × 870.14
  4. Step 4: Simplify right side
    3,178.64x = 4,148,768.87
  5. Step 5: Solve for x
    x = 4,148,768.87/3,178.64
  6. Step 6: Final answer
    x = 1,305.20

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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.