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Finding the Fourth Proportional to 5,643, 7,787.86 and 3,159

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Solution

The fourth proportional to 5,643, 7,787.86 and 3,159 is: 4,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,787.86 = 3,159 : x
  2. Step 2: Convert to fraction form
    5,643/7,787.86 = 3,159/x
  3. Step 3: Cross multiply
    5,643x = 7,787.86 × 3,159
  4. Step 4: Simplify right side
    5,643x = 24,601,849.74
  5. Step 5: Solve for x
    x = 24,601,849.74/5,643
  6. Step 6: Final answer
    x = 4,359.71

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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.