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Finding the Fourth Proportional to 2,231.34, 3,348.12 and 999.63

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Solution

The fourth proportional to 2,231.34, 3,348.12 and 999.63 is: 1,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.34 : 3,348.12 = 999.63 : x
  2. Step 2: Convert to fraction form
    2,231.34/3,348.12 = 999.63/x
  3. Step 3: Cross multiply
    2,231.34x = 3,348.12 × 999.63
  4. Step 4: Simplify right side
    2,231.34x = 3,346,881.20
  5. Step 5: Solve for x
    x = 3,346,881.20/2,231.34
  6. Step 6: Final answer
    x = 1,499.94

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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.