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Finding the Fourth Proportional to 5,178.86, 7,773.12 and 2,715.44

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Solution

The fourth proportional to 5,178.86, 7,773.12 and 2,715.44 is: 4,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.86 : 7,773.12 = 2,715.44 : x
  2. Step 2: Convert to fraction form
    5,178.86/7,773.12 = 2,715.44/x
  3. Step 3: Cross multiply
    5,178.86x = 7,773.12 × 2,715.44
  4. Step 4: Simplify right side
    5,178.86x = 21,107,440.97
  5. Step 5: Solve for x
    x = 21,107,440.97/5,178.86
  6. Step 6: Final answer
    x = 4,075.69

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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.