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Finding the Fourth Proportional to 6,158.14, 9,278.78 and 5,086.51

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Solution

The fourth proportional to 6,158.14, 9,278.78 and 5,086.51 is: 7,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.14 : 9,278.78 = 5,086.51 : x
  2. Step 2: Convert to fraction form
    6,158.14/9,278.78 = 5,086.51/x
  3. Step 3: Cross multiply
    6,158.14x = 9,278.78 × 5,086.51
  4. Step 4: Simplify right side
    6,158.14x = 47,196,607.26
  5. Step 5: Solve for x
    x = 47,196,607.26/6,158.14
  6. Step 6: Final answer
    x = 7,664.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.