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Finding the Fourth Proportional to 6,888, 9,505.44 and 4,407.36

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Solution

The fourth proportional to 6,888, 9,505.44 and 4,407.36 is: 6,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888 : 9,505.44 = 4,407.36 : x
  2. Step 2: Convert to fraction form
    6,888/9,505.44 = 4,407.36/x
  3. Step 3: Cross multiply
    6,888x = 9,505.44 × 4,407.36
  4. Step 4: Simplify right side
    6,888x = 41,893,896.04
  5. Step 5: Solve for x
    x = 41,893,896.04/6,888
  6. Step 6: Final answer
    x = 6,082.16

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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.