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Finding the Fourth Proportional to 2,215.58, 3,322.51 and 734.35

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Solution

The fourth proportional to 2,215.58, 3,322.51 and 734.35 is: 1,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.58 : 3,322.51 = 734.35 : x
  2. Step 2: Convert to fraction form
    2,215.58/3,322.51 = 734.35/x
  3. Step 3: Cross multiply
    2,215.58x = 3,322.51 × 734.35
  4. Step 4: Simplify right side
    2,215.58x = 2,439,877.83
  5. Step 5: Solve for x
    x = 2,439,877.83/2,215.58
  6. Step 6: Final answer
    x = 1,101.24

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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.