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Finding the Fourth Proportional to 3,657.94, 5,487.09 and 1,025.44

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Solution

The fourth proportional to 3,657.94, 5,487.09 and 1,025.44 is: 1,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.94 : 5,487.09 = 1,025.44 : x
  2. Step 2: Convert to fraction form
    3,657.94/5,487.09 = 1,025.44/x
  3. Step 3: Cross multiply
    3,657.94x = 5,487.09 × 1,025.44
  4. Step 4: Simplify right side
    3,657.94x = 5,626,681.57
  5. Step 5: Solve for x
    x = 5,626,681.57/3,657.94
  6. Step 6: Final answer
    x = 1,538.21

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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.