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Finding the Fourth Proportional to 5,218.66, 7,827.18 and 1,520.12

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Solution

The fourth proportional to 5,218.66, 7,827.18 and 1,520.12 is: 2,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.66 : 7,827.18 = 1,520.12 : x
  2. Step 2: Convert to fraction form
    5,218.66/7,827.18 = 1,520.12/x
  3. Step 3: Cross multiply
    5,218.66x = 7,827.18 × 1,520.12
  4. Step 4: Simplify right side
    5,218.66x = 11,898,252.86
  5. Step 5: Solve for x
    x = 11,898,252.86/5,218.66
  6. Step 6: Final answer
    x = 2,279.94

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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.