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Finding the Fourth Proportional to 5,781.21, 8,671.83 and 1,398.66

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Solution

The fourth proportional to 5,781.21, 8,671.83 and 1,398.66 is: 2,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.21 : 8,671.83 = 1,398.66 : x
  2. Step 2: Convert to fraction form
    5,781.21/8,671.83 = 1,398.66/x
  3. Step 3: Cross multiply
    5,781.21x = 8,671.83 × 1,398.66
  4. Step 4: Simplify right side
    5,781.21x = 12,128,941.75
  5. Step 5: Solve for x
    x = 12,128,941.75/5,781.21
  6. Step 6: Final answer
    x = 2,097.99

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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.