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Finding the Fourth Proportional to 7,858.68, 11,788.14 and 2,015.16

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Solution

The fourth proportional to 7,858.68, 11,788.14 and 2,015.16 is: 3,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.68 : 11,788.14 = 2,015.16 : x
  2. Step 2: Convert to fraction form
    7,858.68/11,788.14 = 2,015.16/x
  3. Step 3: Cross multiply
    7,858.68x = 11,788.14 × 2,015.16
  4. Step 4: Simplify right side
    7,858.68x = 23,754,988.20
  5. Step 5: Solve for x
    x = 23,754,988.20/7,858.68
  6. Step 6: Final answer
    x = 3,022.77

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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.