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Finding the Fourth Proportional to 5,382.09, 8,073.14 and 1,684.63

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Solution

The fourth proportional to 5,382.09, 8,073.14 and 1,684.63 is: 2,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.09 : 8,073.14 = 1,684.63 : x
  2. Step 2: Convert to fraction form
    5,382.09/8,073.14 = 1,684.63/x
  3. Step 3: Cross multiply
    5,382.09x = 8,073.14 × 1,684.63
  4. Step 4: Simplify right side
    5,382.09x = 13,600,253.84
  5. Step 5: Solve for x
    x = 13,600,253.84/5,382.09
  6. Step 6: Final answer
    x = 2,526.95

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1.5x scale

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.