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Finding the Fourth Proportional to 4,878.32, 7,321.65 and 1,958.72

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Solution

The fourth proportional to 4,878.32, 7,321.65 and 1,958.72 is: 2,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.32 : 7,321.65 = 1,958.72 : x
  2. Step 2: Convert to fraction form
    4,878.32/7,321.65 = 1,958.72/x
  3. Step 3: Cross multiply
    4,878.32x = 7,321.65 × 1,958.72
  4. Step 4: Simplify right side
    4,878.32x = 14,341,062.29
  5. Step 5: Solve for x
    x = 14,341,062.29/4,878.32
  6. Step 6: Final answer
    x = 2,939.75

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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.