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Finding the Fourth Proportional to 1,935.40, 2,669.40 and 1,368

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Solution

The fourth proportional to 1,935.40, 2,669.40 and 1,368 is: 1,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.40 : 2,669.40 = 1,368 : x
  2. Step 2: Convert to fraction form
    1,935.40/2,669.40 = 1,368/x
  3. Step 3: Cross multiply
    1,935.40x = 2,669.40 × 1,368
  4. Step 4: Simplify right side
    1,935.40x = 3,651,739.20
  5. Step 5: Solve for x
    x = 3,651,739.20/1,935.40
  6. Step 6: Final answer
    x = 1,886.81

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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.