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Finding the Fourth Proportional to 5,657.35, 7,784.19 and 4,645.33

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Solution

The fourth proportional to 5,657.35, 7,784.19 and 4,645.33 is: 6,391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.35 : 7,784.19 = 4,645.33 : x
  2. Step 2: Convert to fraction form
    5,657.35/7,784.19 = 4,645.33/x
  3. Step 3: Cross multiply
    5,657.35x = 7,784.19 × 4,645.33
  4. Step 4: Simplify right side
    5,657.35x = 36,160,131.33
  5. Step 5: Solve for x
    x = 36,160,131.33/5,657.35
  6. Step 6: Final answer
    x = 6,391.71

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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.