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Finding the Fourth Proportional to 9,679.88, 13,356.17 and 5,699.54

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Solution

The fourth proportional to 9,679.88, 13,356.17 and 5,699.54 is: 7,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.88 : 13,356.17 = 5,699.54 : x
  2. Step 2: Convert to fraction form
    9,679.88/13,356.17 = 5,699.54/x
  3. Step 3: Cross multiply
    9,679.88x = 13,356.17 × 5,699.54
  4. Step 4: Simplify right side
    9,679.88x = 76,123,944.13
  5. Step 5: Solve for x
    x = 76,123,944.13/9,679.88
  6. Step 6: Final answer
    x = 7,864.15

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1.5x scale

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.