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Finding the Fourth Proportional to 5,781.84, 8,669.30 and 2,814.44

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Solution

The fourth proportional to 5,781.84, 8,669.30 and 2,814.44 is: 4,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.84 : 8,669.30 = 2,814.44 : x
  2. Step 2: Convert to fraction form
    5,781.84/8,669.30 = 2,814.44/x
  3. Step 3: Cross multiply
    5,781.84x = 8,669.30 × 2,814.44
  4. Step 4: Simplify right side
    5,781.84x = 24,399,224.69
  5. Step 5: Solve for x
    x = 24,399,224.69/5,781.84
  6. Step 6: Final answer
    x = 4,219.98

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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.