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Finding the Fourth Proportional to 6,689.60, 10,040.16 and 3,919.04

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Solution

The fourth proportional to 6,689.60, 10,040.16 and 3,919.04 is: 5,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.60 : 10,040.16 = 3,919.04 : x
  2. Step 2: Convert to fraction form
    6,689.60/10,040.16 = 3,919.04/x
  3. Step 3: Cross multiply
    6,689.60x = 10,040.16 × 3,919.04
  4. Step 4: Simplify right side
    6,689.60x = 39,347,788.65
  5. Step 5: Solve for x
    x = 39,347,788.65/6,689.60
  6. Step 6: Final answer
    x = 5,881.93

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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.