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Finding the Fourth Proportional to 3,657.92, 5,487.07 and 2,097.51

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Solution

The fourth proportional to 3,657.92, 5,487.07 and 2,097.51 is: 3,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.92 : 5,487.07 = 2,097.51 : x
  2. Step 2: Convert to fraction form
    3,657.92/5,487.07 = 2,097.51/x
  3. Step 3: Cross multiply
    3,657.92x = 5,487.07 × 2,097.51
  4. Step 4: Simplify right side
    3,657.92x = 11,509,146.27
  5. Step 5: Solve for x
    x = 11,509,146.27/3,657.92
  6. Step 6: Final answer
    x = 3,146.36

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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.