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Finding the Fourth Proportional to 6,412.78, 9,605.85 and 3,283.32

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Solution

The fourth proportional to 6,412.78, 9,605.85 and 3,283.32 is: 4,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.78 : 9,605.85 = 3,283.32 : x
  2. Step 2: Convert to fraction form
    6,412.78/9,605.85 = 3,283.32/x
  3. Step 3: Cross multiply
    6,412.78x = 9,605.85 × 3,283.32
  4. Step 4: Simplify right side
    6,412.78x = 31,539,079.42
  5. Step 5: Solve for x
    x = 31,539,079.42/6,412.78
  6. Step 6: Final answer
    x = 4,918.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.