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Finding the Fourth Proportional to 4,922.81, 7,382.69 and 1,411.87

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Solution

The fourth proportional to 4,922.81, 7,382.69 and 1,411.87 is: 2,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.81 : 7,382.69 = 1,411.87 : x
  2. Step 2: Convert to fraction form
    4,922.81/7,382.69 = 1,411.87/x
  3. Step 3: Cross multiply
    4,922.81x = 7,382.69 × 1,411.87
  4. Step 4: Simplify right side
    4,922.81x = 10,423,354.56
  5. Step 5: Solve for x
    x = 10,423,354.56/4,922.81
  6. Step 6: Final answer
    x = 2,117.36

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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.