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Finding the Fourth Proportional to 5,279.82, 7,875.08 and 4,975.26

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Solution

The fourth proportional to 5,279.82, 7,875.08 and 4,975.26 is: 7,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.82 : 7,875.08 = 4,975.26 : x
  2. Step 2: Convert to fraction form
    5,279.82/7,875.08 = 4,975.26/x
  3. Step 3: Cross multiply
    5,279.82x = 7,875.08 × 4,975.26
  4. Step 4: Simplify right side
    5,279.82x = 39,180,545.64
  5. Step 5: Solve for x
    x = 39,180,545.64/5,279.82
  6. Step 6: Final answer
    x = 7,420.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.