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Finding the Fourth Proportional to 6,645.78, 9,966.30 and 1,964.54

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Solution

The fourth proportional to 6,645.78, 9,966.30 and 1,964.54 is: 2,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.78 : 9,966.30 = 1,964.54 : x
  2. Step 2: Convert to fraction form
    6,645.78/9,966.30 = 1,964.54/x
  3. Step 3: Cross multiply
    6,645.78x = 9,966.30 × 1,964.54
  4. Step 4: Simplify right side
    6,645.78x = 19,579,195.00
  5. Step 5: Solve for x
    x = 19,579,195.00/6,645.78
  6. Step 6: Final answer
    x = 2,946.11

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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.