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Finding the Fourth Proportional to 4,991, 7,486.86 and 1,913

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Solution

The fourth proportional to 4,991, 7,486.86 and 1,913 is: 2,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991 : 7,486.86 = 1,913 : x
  2. Step 2: Convert to fraction form
    4,991/7,486.86 = 1,913/x
  3. Step 3: Cross multiply
    4,991x = 7,486.86 × 1,913
  4. Step 4: Simplify right side
    4,991x = 14,322,363.18
  5. Step 5: Solve for x
    x = 14,322,363.18/4,991
  6. Step 6: Final answer
    x = 2,869.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.