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Finding the Fourth Proportional to 7,707.32, 11,561 and 1,863.92

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Solution

The fourth proportional to 7,707.32, 11,561 and 1,863.92 is: 2,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.32 : 11,561 = 1,863.92 : x
  2. Step 2: Convert to fraction form
    7,707.32/11,561 = 1,863.92/x
  3. Step 3: Cross multiply
    7,707.32x = 11,561 × 1,863.92
  4. Step 4: Simplify right side
    7,707.32x = 21,548,779.12
  5. Step 5: Solve for x
    x = 21,548,779.12/7,707.32
  6. Step 6: Final answer
    x = 2,795.88

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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.