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Finding the Fourth Proportional to 5,369.60, 8,047.20 and 2,288

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Solution

The fourth proportional to 5,369.60, 8,047.20 and 2,288 is: 3,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.60 : 8,047.20 = 2,288 : x
  2. Step 2: Convert to fraction form
    5,369.60/8,047.20 = 2,288/x
  3. Step 3: Cross multiply
    5,369.60x = 8,047.20 × 2,288
  4. Step 4: Simplify right side
    5,369.60x = 18,411,993.60
  5. Step 5: Solve for x
    x = 18,411,993.60/5,369.60
  6. Step 6: Final answer
    x = 3,428.93

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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.