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Finding the Fourth Proportional to 4,788.09, 7,182.06 and 2,154.12

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Solution

The fourth proportional to 4,788.09, 7,182.06 and 2,154.12 is: 3,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.09 : 7,182.06 = 2,154.12 : x
  2. Step 2: Convert to fraction form
    4,788.09/7,182.06 = 2,154.12/x
  3. Step 3: Cross multiply
    4,788.09x = 7,182.06 × 2,154.12
  4. Step 4: Simplify right side
    4,788.09x = 15,471,019.09
  5. Step 5: Solve for x
    x = 15,471,019.09/4,788.09
  6. Step 6: Final answer
    x = 3,231.15

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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.