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Finding the Fourth Proportional to 2,221.98, 3,333.58 and 972.35

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Solution

The fourth proportional to 2,221.98, 3,333.58 and 972.35 is: 1,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.98 : 3,333.58 = 972.35 : x
  2. Step 2: Convert to fraction form
    2,221.98/3,333.58 = 972.35/x
  3. Step 3: Cross multiply
    2,221.98x = 3,333.58 × 972.35
  4. Step 4: Simplify right side
    2,221.98x = 3,241,393.27
  5. Step 5: Solve for x
    x = 3,241,393.27/2,221.98
  6. Step 6: Final answer
    x = 1,458.79

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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.