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Finding the Fourth Proportional to 5,522.40, 8,291.76 and 5,423.94

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Solution

The fourth proportional to 5,522.40, 8,291.76 and 5,423.94 is: 8,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.40 : 8,291.76 = 5,423.94 : x
  2. Step 2: Convert to fraction form
    5,522.40/8,291.76 = 5,423.94/x
  3. Step 3: Cross multiply
    5,522.40x = 8,291.76 × 5,423.94
  4. Step 4: Simplify right side
    5,522.40x = 44,974,008.73
  5. Step 5: Solve for x
    x = 44,974,008.73/5,522.40
  6. Step 6: Final answer
    x = 8,143.92

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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.