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Finding the Fourth Proportional to 3,657.61, 5,487.23 and 1,708.75

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Solution

The fourth proportional to 3,657.61, 5,487.23 and 1,708.75 is: 2,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.61 : 5,487.23 = 1,708.75 : x
  2. Step 2: Convert to fraction form
    3,657.61/5,487.23 = 1,708.75/x
  3. Step 3: Cross multiply
    3,657.61x = 5,487.23 × 1,708.75
  4. Step 4: Simplify right side
    3,657.61x = 9,376,304.26
  5. Step 5: Solve for x
    x = 9,376,304.26/3,657.61
  6. Step 6: Final answer
    x = 2,563.51

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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.