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Finding the Fourth Proportional to 2,380.98, 3,569.76 and 899.97

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Solution

The fourth proportional to 2,380.98, 3,569.76 and 899.97 is: 1,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.98 : 3,569.76 = 899.97 : x
  2. Step 2: Convert to fraction form
    2,380.98/3,569.76 = 899.97/x
  3. Step 3: Cross multiply
    2,380.98x = 3,569.76 × 899.97
  4. Step 4: Simplify right side
    2,380.98x = 3,212,676.91
  5. Step 5: Solve for x
    x = 3,212,676.91/2,380.98
  6. Step 6: Final answer
    x = 1,349.31

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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.