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Finding the Fourth Proportional to 5,643.42, 7,787.93 and 3,091.17

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Solution

The fourth proportional to 5,643.42, 7,787.93 and 3,091.17 is: 4,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.42 : 7,787.93 = 3,091.17 : x
  2. Step 2: Convert to fraction form
    5,643.42/7,787.93 = 3,091.17/x
  3. Step 3: Cross multiply
    5,643.42x = 7,787.93 × 3,091.17
  4. Step 4: Simplify right side
    5,643.42x = 24,073,800.12
  5. Step 5: Solve for x
    x = 24,073,800.12/5,643.42
  6. Step 6: Final answer
    x = 4,265.82

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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.