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Finding the Fourth Proportional to 3,657.57, 5,486.93 and 1,578.16

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Solution

The fourth proportional to 3,657.57, 5,486.93 and 1,578.16 is: 2,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.57 : 5,486.93 = 1,578.16 : x
  2. Step 2: Convert to fraction form
    3,657.57/5,486.93 = 1,578.16/x
  3. Step 3: Cross multiply
    3,657.57x = 5,486.93 × 1,578.16
  4. Step 4: Simplify right side
    3,657.57x = 8,659,253.45
  5. Step 5: Solve for x
    x = 8,659,253.45/3,657.57
  6. Step 6: Final answer
    x = 2,367.49

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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.