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Finding the Fourth Proportional to 6,855.36, 9,478.80 and 6,540

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Solution

The fourth proportional to 6,855.36, 9,478.80 and 6,540 is: 9,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.36 : 9,478.80 = 6,540 : x
  2. Step 2: Convert to fraction form
    6,855.36/9,478.80 = 6,540/x
  3. Step 3: Cross multiply
    6,855.36x = 9,478.80 × 6,540
  4. Step 4: Simplify right side
    6,855.36x = 61,991,352.00
  5. Step 5: Solve for x
    x = 61,991,352.00/6,855.36
  6. Step 6: Final answer
    x = 9,042.76

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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.