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Finding the Fourth Proportional to 5,781.42, 8,671.23 and 1,885.80

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Solution

The fourth proportional to 5,781.42, 8,671.23 and 1,885.80 is: 2,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.42 : 8,671.23 = 1,885.80 : x
  2. Step 2: Convert to fraction form
    5,781.42/8,671.23 = 1,885.80/x
  3. Step 3: Cross multiply
    5,781.42x = 8,671.23 × 1,885.80
  4. Step 4: Simplify right side
    5,781.42x = 16,352,205.53
  5. Step 5: Solve for x
    x = 16,352,205.53/5,781.42
  6. Step 6: Final answer
    x = 2,828.41

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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.