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Finding the Fourth Proportional to 6,905, 10,337.52 and 5,268.08

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Solution

The fourth proportional to 6,905, 10,337.52 and 5,268.08 is: 7,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905 : 10,337.52 = 5,268.08 : x
  2. Step 2: Convert to fraction form
    6,905/10,337.52 = 5,268.08/x
  3. Step 3: Cross multiply
    6,905x = 10,337.52 × 5,268.08
  4. Step 4: Simplify right side
    6,905x = 54,458,882.36
  5. Step 5: Solve for x
    x = 54,458,882.36/6,905
  6. Step 6: Final answer
    x = 7,886.88

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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.