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Finding the Fourth Proportional to 5,689.68, 8,534.42 and 2,178.74

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Solution

The fourth proportional to 5,689.68, 8,534.42 and 2,178.74 is: 3,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.68 : 8,534.42 = 2,178.74 : x
  2. Step 2: Convert to fraction form
    5,689.68/8,534.42 = 2,178.74/x
  3. Step 3: Cross multiply
    5,689.68x = 8,534.42 × 2,178.74
  4. Step 4: Simplify right side
    5,689.68x = 18,594,236.84
  5. Step 5: Solve for x
    x = 18,594,236.84/5,689.68
  6. Step 6: Final answer
    x = 3,268.06

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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.