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Finding the Fourth Proportional to 6,642,448.80, 9,965,422.80 and 2,382,172.80

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Solution

The fourth proportional to 6,642,448.80, 9,965,422.80 and 2,382,172.80 is: 3,573,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,448.80 : 9,965,422.80 = 2,382,172.80 : x
  2. Step 2: Convert to fraction form
    6,642,448.80/9,965,422.80 = 2,382,172.80/x
  3. Step 3: Cross multiply
    6,642,448.80x = 9,965,422.80 × 2,382,172.80
  4. Step 4: Simplify right side
    6,642,448.80x = 23,739,359,134,659.84
  5. Step 5: Solve for x
    x = 23,739,359,134,659.84/6,642,448.80
  6. Step 6: Final answer
    x = 3,573,886.66

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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.