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Finding the Fourth Proportional to 2,986.96, 4,479.32 and 877.95

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Solution

The fourth proportional to 2,986.96, 4,479.32 and 877.95 is: 1,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.96 : 4,479.32 = 877.95 : x
  2. Step 2: Convert to fraction form
    2,986.96/4,479.32 = 877.95/x
  3. Step 3: Cross multiply
    2,986.96x = 4,479.32 × 877.95
  4. Step 4: Simplify right side
    2,986.96x = 3,932,601.10
  5. Step 5: Solve for x
    x = 3,932,601.10/2,986.96
  6. Step 6: Final answer
    x = 1,316.59

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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.