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Finding the Fourth Proportional to 5,678.52, 8,516.16 and 2,391

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Solution

The fourth proportional to 5,678.52, 8,516.16 and 2,391 is: 3,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.52 : 8,516.16 = 2,391 : x
  2. Step 2: Convert to fraction form
    5,678.52/8,516.16 = 2,391/x
  3. Step 3: Cross multiply
    5,678.52x = 8,516.16 × 2,391
  4. Step 4: Simplify right side
    5,678.52x = 20,362,138.56
  5. Step 5: Solve for x
    x = 20,362,138.56/5,678.52
  6. Step 6: Final answer
    x = 3,585.82

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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.