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Finding the Fourth Proportional to 5,882.42, 8,820.90 and 2,596.46

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Solution

The fourth proportional to 5,882.42, 8,820.90 and 2,596.46 is: 3,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.42 : 8,820.90 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    5,882.42/8,820.90 = 2,596.46/x
  3. Step 3: Cross multiply
    5,882.42x = 8,820.90 × 2,596.46
  4. Step 4: Simplify right side
    5,882.42x = 22,903,069.91
  5. Step 5: Solve for x
    x = 22,903,069.91/5,882.42
  6. Step 6: Final answer
    x = 3,893.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.