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Finding the Fourth Proportional to 6,645.95, 9,967.09 and 1,964.55

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Solution

The fourth proportional to 6,645.95, 9,967.09 and 1,964.55 is: 2,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.95 : 9,967.09 = 1,964.55 : x
  2. Step 2: Convert to fraction form
    6,645.95/9,967.09 = 1,964.55/x
  3. Step 3: Cross multiply
    6,645.95x = 9,967.09 × 1,964.55
  4. Step 4: Simplify right side
    6,645.95x = 19,580,846.66
  5. Step 5: Solve for x
    x = 19,580,846.66/6,645.95
  6. Step 6: Final answer
    x = 2,946.28

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1.5x scale

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.