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Finding the Fourth Proportional to 1,293.58, 1,935.72 and 1,120.84

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Solution

The fourth proportional to 1,293.58, 1,935.72 and 1,120.84 is: 1,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.58 : 1,935.72 = 1,120.84 : x
  2. Step 2: Convert to fraction form
    1,293.58/1,935.72 = 1,120.84/x
  3. Step 3: Cross multiply
    1,293.58x = 1,935.72 × 1,120.84
  4. Step 4: Simplify right side
    1,293.58x = 2,169,632.40
  5. Step 5: Solve for x
    x = 2,169,632.40/1,293.58
  6. Step 6: Final answer
    x = 1,677.23

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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.