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Finding the Fourth Proportional to 5,693, 7,856.34 and 3,209

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Solution

The fourth proportional to 5,693, 7,856.34 and 3,209 is: 4,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693 : 7,856.34 = 3,209 : x
  2. Step 2: Convert to fraction form
    5,693/7,856.34 = 3,209/x
  3. Step 3: Cross multiply
    5,693x = 7,856.34 × 3,209
  4. Step 4: Simplify right side
    5,693x = 25,210,995.06
  5. Step 5: Solve for x
    x = 25,210,995.06/5,693
  6. Step 6: Final answer
    x = 4,428.42

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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.