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Finding the Fourth Proportional to 5,690.90, 8,538.02 and 2,919.50

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Solution

The fourth proportional to 5,690.90, 8,538.02 and 2,919.50 is: 4,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.90 : 8,538.02 = 2,919.50 : x
  2. Step 2: Convert to fraction form
    5,690.90/8,538.02 = 2,919.50/x
  3. Step 3: Cross multiply
    5,690.90x = 8,538.02 × 2,919.50
  4. Step 4: Simplify right side
    5,690.90x = 24,926,749.39
  5. Step 5: Solve for x
    x = 24,926,749.39/5,690.90
  6. Step 6: Final answer
    x = 4,380.11

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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.