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Finding the Fourth Proportional to 5,272.79, 7,851.78 and 5,214.56

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Solution

The fourth proportional to 5,272.79, 7,851.78 and 5,214.56 is: 7,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.79 : 7,851.78 = 5,214.56 : x
  2. Step 2: Convert to fraction form
    5,272.79/7,851.78 = 5,214.56/x
  3. Step 3: Cross multiply
    5,272.79x = 7,851.78 × 5,214.56
  4. Step 4: Simplify right side
    5,272.79x = 40,943,538.66
  5. Step 5: Solve for x
    x = 40,943,538.66/5,272.79
  6. Step 6: Final answer
    x = 7,765.07

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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.