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Finding the Fourth Proportional to 5,214.48, 7,818.48 and 2,747.76

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Solution

The fourth proportional to 5,214.48, 7,818.48 and 2,747.76 is: 4,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.48 : 7,818.48 = 2,747.76 : x
  2. Step 2: Convert to fraction form
    5,214.48/7,818.48 = 2,747.76/x
  3. Step 3: Cross multiply
    5,214.48x = 7,818.48 × 2,747.76
  4. Step 4: Simplify right side
    5,214.48x = 21,483,306.60
  5. Step 5: Solve for x
    x = 21,483,306.60/5,214.48
  6. Step 6: Final answer
    x = 4,119.93

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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.