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Finding the Fourth Proportional to 3,178.64, 4,767.96 and 870.16

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Solution

The fourth proportional to 3,178.64, 4,767.96 and 870.16 is: 1,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.64 : 4,767.96 = 870.16 : x
  2. Step 2: Convert to fraction form
    3,178.64/4,767.96 = 870.16/x
  3. Step 3: Cross multiply
    3,178.64x = 4,767.96 × 870.16
  4. Step 4: Simplify right side
    3,178.64x = 4,148,888.07
  5. Step 5: Solve for x
    x = 4,148,888.07/3,178.64
  6. Step 6: Final answer
    x = 1,305.24

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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.