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Finding the Fourth Proportional to 5,461.68, 8,189.64 and 2,382

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Solution

The fourth proportional to 5,461.68, 8,189.64 and 2,382 is: 3,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.68 : 8,189.64 = 2,382 : x
  2. Step 2: Convert to fraction form
    5,461.68/8,189.64 = 2,382/x
  3. Step 3: Cross multiply
    5,461.68x = 8,189.64 × 2,382
  4. Step 4: Simplify right side
    5,461.68x = 19,507,722.48
  5. Step 5: Solve for x
    x = 19,507,722.48/5,461.68
  6. Step 6: Final answer
    x = 3,571.74

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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.