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Finding the Fourth Proportional to 2,321.88, 3,484.19 and 862.05

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Solution

The fourth proportional to 2,321.88, 3,484.19 and 862.05 is: 1,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.88 : 3,484.19 = 862.05 : x
  2. Step 2: Convert to fraction form
    2,321.88/3,484.19 = 862.05/x
  3. Step 3: Cross multiply
    2,321.88x = 3,484.19 × 862.05
  4. Step 4: Simplify right side
    2,321.88x = 3,003,541.68
  5. Step 5: Solve for x
    x = 3,003,541.68/2,321.88
  6. Step 6: Final answer
    x = 1,293.58

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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.