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Finding the Fourth Proportional to 5,145.82, 7,719.19 and 1,448.08

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Solution

The fourth proportional to 5,145.82, 7,719.19 and 1,448.08 is: 2,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.82 : 7,719.19 = 1,448.08 : x
  2. Step 2: Convert to fraction form
    5,145.82/7,719.19 = 1,448.08/x
  3. Step 3: Cross multiply
    5,145.82x = 7,719.19 × 1,448.08
  4. Step 4: Simplify right side
    5,145.82x = 11,177,981.74
  5. Step 5: Solve for x
    x = 11,177,981.74/5,145.82
  6. Step 6: Final answer
    x = 2,172.25

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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.