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Finding the Fourth Proportional to 6,456.55, 9,684.54 and 1,776.25

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Solution

The fourth proportional to 6,456.55, 9,684.54 and 1,776.25 is: 2,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.55 : 9,684.54 = 1,776.25 : x
  2. Step 2: Convert to fraction form
    6,456.55/9,684.54 = 1,776.25/x
  3. Step 3: Cross multiply
    6,456.55x = 9,684.54 × 1,776.25
  4. Step 4: Simplify right side
    6,456.55x = 17,202,198.52
  5. Step 5: Solve for x
    x = 17,202,198.52/6,456.55
  6. Step 6: Final answer
    x = 2,664.30

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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.