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Finding the Fourth Proportional to 7,749.89, 11,542.80 and 7,712.13

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Solution

The fourth proportional to 7,749.89, 11,542.80 and 7,712.13 is: 11,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.89 : 11,542.80 = 7,712.13 : x
  2. Step 2: Convert to fraction form
    7,749.89/11,542.80 = 7,712.13/x
  3. Step 3: Cross multiply
    7,749.89x = 11,542.80 × 7,712.13
  4. Step 4: Simplify right side
    7,749.89x = 89,019,574.16
  5. Step 5: Solve for x
    x = 89,019,574.16/7,749.89
  6. Step 6: Final answer
    x = 11,486.56

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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.