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Finding the Fourth Proportional to 1,787,786.97, 2,467,217.65 and 971,988.13

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Solution

The fourth proportional to 1,787,786.97, 2,467,217.65 and 971,988.13 is: 1,341,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,786.97 : 2,467,217.65 = 971,988.13 : x
  2. Step 2: Convert to fraction form
    1,787,786.97/2,467,217.65 = 971,988.13/x
  3. Step 3: Cross multiply
    1,787,786.97x = 2,467,217.65 × 971,988.13
  4. Step 4: Simplify right side
    1,787,786.97x = 2,398,106,268,197.69
  5. Step 5: Solve for x
    x = 2,398,106,268,197.69/1,787,786.97
  6. Step 6: Final answer
    x = 1,341,382.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.