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Finding the Fourth Proportional to 4,991.60, 6,886.20 and 3,001

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Solution

The fourth proportional to 4,991.60, 6,886.20 and 3,001 is: 4,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.60 : 6,886.20 = 3,001 : x
  2. Step 2: Convert to fraction form
    4,991.60/6,886.20 = 3,001/x
  3. Step 3: Cross multiply
    4,991.60x = 6,886.20 × 3,001
  4. Step 4: Simplify right side
    4,991.60x = 20,665,486.20
  5. Step 5: Solve for x
    x = 20,665,486.20/4,991.60
  6. Step 6: Final answer
    x = 4,140.05

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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.