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Finding the Fourth Proportional to 5,615.78, 7,749.82 and 3,097.99

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Solution

The fourth proportional to 5,615.78, 7,749.82 and 3,097.99 is: 4,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.78 : 7,749.82 = 3,097.99 : x
  2. Step 2: Convert to fraction form
    5,615.78/7,749.82 = 3,097.99/x
  3. Step 3: Cross multiply
    5,615.78x = 7,749.82 × 3,097.99
  4. Step 4: Simplify right side
    5,615.78x = 24,008,864.86
  5. Step 5: Solve for x
    x = 24,008,864.86/5,615.78
  6. Step 6: Final answer
    x = 4,275.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.