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Finding the Fourth Proportional to 5,281.90, 7,919.89 and 2,164.08

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Solution

The fourth proportional to 5,281.90, 7,919.89 and 2,164.08 is: 3,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.90 : 7,919.89 = 2,164.08 : x
  2. Step 2: Convert to fraction form
    5,281.90/7,919.89 = 2,164.08/x
  3. Step 3: Cross multiply
    5,281.90x = 7,919.89 × 2,164.08
  4. Step 4: Simplify right side
    5,281.90x = 17,139,275.55
  5. Step 5: Solve for x
    x = 17,139,275.55/5,281.90
  6. Step 6: Final answer
    x = 3,244.91

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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.