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Finding the Fourth Proportional to 1,968.97, 2,718.07 and 1,402.17

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Solution

The fourth proportional to 1,968.97, 2,718.07 and 1,402.17 is: 1,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.97 : 2,718.07 = 1,402.17 : x
  2. Step 2: Convert to fraction form
    1,968.97/2,718.07 = 1,402.17/x
  3. Step 3: Cross multiply
    1,968.97x = 2,718.07 × 1,402.17
  4. Step 4: Simplify right side
    1,968.97x = 3,811,182.62
  5. Step 5: Solve for x
    x = 3,811,182.62/1,968.97
  6. Step 6: Final answer
    x = 1,935.63

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1.5x scale

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.