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Finding the Fourth Proportional to 5,114.86, 7,666 and 2,648.27

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Solution

The fourth proportional to 5,114.86, 7,666 and 2,648.27 is: 3,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.86 : 7,666 = 2,648.27 : x
  2. Step 2: Convert to fraction form
    5,114.86/7,666 = 2,648.27/x
  3. Step 3: Cross multiply
    5,114.86x = 7,666 × 2,648.27
  4. Step 4: Simplify right side
    5,114.86x = 20,301,637.82
  5. Step 5: Solve for x
    x = 20,301,637.82/5,114.86
  6. Step 6: Final answer
    x = 3,969.15

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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.