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Finding the Fourth Proportional to 5,278.87, 7,918.76 and 1,991.99

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Solution

The fourth proportional to 5,278.87, 7,918.76 and 1,991.99 is: 2,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.87 : 7,918.76 = 1,991.99 : x
  2. Step 2: Convert to fraction form
    5,278.87/7,918.76 = 1,991.99/x
  3. Step 3: Cross multiply
    5,278.87x = 7,918.76 × 1,991.99
  4. Step 4: Simplify right side
    5,278.87x = 15,774,115.51
  5. Step 5: Solve for x
    x = 15,774,115.51/5,278.87
  6. Step 6: Final answer
    x = 2,988.16

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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.