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Finding the Fourth Proportional to 2,659.68, 3,988.16 and 1,683.68

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Solution

The fourth proportional to 2,659.68, 3,988.16 and 1,683.68 is: 2,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,988.16 = 1,683.68 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,988.16 = 1,683.68/x
  3. Step 3: Cross multiply
    2,659.68x = 3,988.16 × 1,683.68
  4. Step 4: Simplify right side
    2,659.68x = 6,714,785.23
  5. Step 5: Solve for x
    x = 6,714,785.23/2,659.68
  6. Step 6: Final answer
    x = 2,524.66

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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.