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Finding the Fourth Proportional to 5,547.88, 7,658.31 and 3,781.27

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Solution

The fourth proportional to 5,547.88, 7,658.31 and 3,781.27 is: 5,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.88 : 7,658.31 = 3,781.27 : x
  2. Step 2: Convert to fraction form
    5,547.88/7,658.31 = 3,781.27/x
  3. Step 3: Cross multiply
    5,547.88x = 7,658.31 × 3,781.27
  4. Step 4: Simplify right side
    5,547.88x = 28,958,137.85
  5. Step 5: Solve for x
    x = 28,958,137.85/5,547.88
  6. Step 6: Final answer
    x = 5,219.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.