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Finding the Fourth Proportional to 6,238.92, 8,590.06 and 5,292.75

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Solution

The fourth proportional to 6,238.92, 8,590.06 and 5,292.75 is: 7,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.92 : 8,590.06 = 5,292.75 : x
  2. Step 2: Convert to fraction form
    6,238.92/8,590.06 = 5,292.75/x
  3. Step 3: Cross multiply
    6,238.92x = 8,590.06 × 5,292.75
  4. Step 4: Simplify right side
    6,238.92x = 45,464,970.65
  5. Step 5: Solve for x
    x = 45,464,970.65/6,238.92
  6. Step 6: Final answer
    x = 7,287.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.