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Finding the Fourth Proportional to 6,886.65, 9,505.31 and 3,904.26

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Solution

The fourth proportional to 6,886.65, 9,505.31 and 3,904.26 is: 5,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.65 : 9,505.31 = 3,904.26 : x
  2. Step 2: Convert to fraction form
    6,886.65/9,505.31 = 3,904.26/x
  3. Step 3: Cross multiply
    6,886.65x = 9,505.31 × 3,904.26
  4. Step 4: Simplify right side
    6,886.65x = 37,111,182.10
  5. Step 5: Solve for x
    x = 37,111,182.10/6,886.65
  6. Step 6: Final answer
    x = 5,388.86

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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.