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Finding the Fourth Proportional to 6,555, 9,045.84 and 3,902.36

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Solution

The fourth proportional to 6,555, 9,045.84 and 3,902.36 is: 5,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555 : 9,045.84 = 3,902.36 : x
  2. Step 2: Convert to fraction form
    6,555/9,045.84 = 3,902.36/x
  3. Step 3: Cross multiply
    6,555x = 9,045.84 × 3,902.36
  4. Step 4: Simplify right side
    6,555x = 35,300,124.18
  5. Step 5: Solve for x
    x = 35,300,124.18/6,555
  6. Step 6: Final answer
    x = 5,385.22

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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.