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Finding the Fourth Proportional to 2,659.46, 3,989.47 and 1,099.58

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Solution

The fourth proportional to 2,659.46, 3,989.47 and 1,099.58 is: 1,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.46 : 3,989.47 = 1,099.58 : x
  2. Step 2: Convert to fraction form
    2,659.46/3,989.47 = 1,099.58/x
  3. Step 3: Cross multiply
    2,659.46x = 3,989.47 × 1,099.58
  4. Step 4: Simplify right side
    2,659.46x = 4,386,741.42
  5. Step 5: Solve for x
    x = 4,386,741.42/2,659.46
  6. Step 6: Final answer
    x = 1,649.49

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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.