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Finding the Fourth Proportional to 5,726, 7,901.88 and 3,242

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Solution

The fourth proportional to 5,726, 7,901.88 and 3,242 is: 4,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726 : 7,901.88 = 3,242 : x
  2. Step 2: Convert to fraction form
    5,726/7,901.88 = 3,242/x
  3. Step 3: Cross multiply
    5,726x = 7,901.88 × 3,242
  4. Step 4: Simplify right side
    5,726x = 25,617,894.96
  5. Step 5: Solve for x
    x = 25,617,894.96/5,726
  6. Step 6: Final answer
    x = 4,473.96

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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.