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Finding the Fourth Proportional to 5,471.84, 8,209.58 and 1,774.19

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Solution

The fourth proportional to 5,471.84, 8,209.58 and 1,774.19 is: 2,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.84 : 8,209.58 = 1,774.19 : x
  2. Step 2: Convert to fraction form
    5,471.84/8,209.58 = 1,774.19/x
  3. Step 3: Cross multiply
    5,471.84x = 8,209.58 × 1,774.19
  4. Step 4: Simplify right side
    5,471.84x = 14,565,304.82
  5. Step 5: Solve for x
    x = 14,565,304.82/5,471.84
  6. Step 6: Final answer
    x = 2,661.87

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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.