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Finding the Fourth Proportional to 4,882.81, 7,323.06 and 1,921.14

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Solution

The fourth proportional to 4,882.81, 7,323.06 and 1,921.14 is: 2,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.81 : 7,323.06 = 1,921.14 : x
  2. Step 2: Convert to fraction form
    4,882.81/7,323.06 = 1,921.14/x
  3. Step 3: Cross multiply
    4,882.81x = 7,323.06 × 1,921.14
  4. Step 4: Simplify right side
    4,882.81x = 14,068,640.48
  5. Step 5: Solve for x
    x = 14,068,640.48/4,882.81
  6. Step 6: Final answer
    x = 2,881.26

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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.