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Finding the Fourth Proportional to 2,652.68, 3,657.25 and 1,706.78

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Solution

The fourth proportional to 2,652.68, 3,657.25 and 1,706.78 is: 2,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.68 : 3,657.25 = 1,706.78 : x
  2. Step 2: Convert to fraction form
    2,652.68/3,657.25 = 1,706.78/x
  3. Step 3: Cross multiply
    2,652.68x = 3,657.25 × 1,706.78
  4. Step 4: Simplify right side
    2,652.68x = 6,242,121.16
  5. Step 5: Solve for x
    x = 6,242,121.16/2,652.68
  6. Step 6: Final answer
    x = 2,353.14

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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.