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Finding the Fourth Proportional to 6,888, 9,530.46 and 6,005.64

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Solution

The fourth proportional to 6,888, 9,530.46 and 6,005.64 is: 8,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888 : 9,530.46 = 6,005.64 : x
  2. Step 2: Convert to fraction form
    6,888/9,530.46 = 6,005.64/x
  3. Step 3: Cross multiply
    6,888x = 9,530.46 × 6,005.64
  4. Step 4: Simplify right side
    6,888x = 57,236,511.79
  5. Step 5: Solve for x
    x = 57,236,511.79/6,888
  6. Step 6: Final answer
    x = 8,309.60

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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.