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Finding the Fourth Proportional to 5,645.50, 7,788.99 and 3,657.58

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Solution

The fourth proportional to 5,645.50, 7,788.99 and 3,657.58 is: 5,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.50 : 7,788.99 = 3,657.58 : x
  2. Step 2: Convert to fraction form
    5,645.50/7,788.99 = 3,657.58/x
  3. Step 3: Cross multiply
    5,645.50x = 7,788.99 × 3,657.58
  4. Step 4: Simplify right side
    5,645.50x = 28,488,854.04
  5. Step 5: Solve for x
    x = 28,488,854.04/5,645.50
  6. Step 6: Final answer
    x = 5,046.29

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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.