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Finding the Fourth Proportional to 5,320.15, 7,978.94 and 2,356.96

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Solution

The fourth proportional to 5,320.15, 7,978.94 and 2,356.96 is: 3,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.15 : 7,978.94 = 2,356.96 : x
  2. Step 2: Convert to fraction form
    5,320.15/7,978.94 = 2,356.96/x
  3. Step 3: Cross multiply
    5,320.15x = 7,978.94 × 2,356.96
  4. Step 4: Simplify right side
    5,320.15x = 18,806,042.42
  5. Step 5: Solve for x
    x = 18,806,042.42/5,320.15
  6. Step 6: Final answer
    x = 3,534.87

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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.