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Finding the Fourth Proportional to 2,354.70, 3,530.93 and 873.45

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Solution

The fourth proportional to 2,354.70, 3,530.93 and 873.45 is: 1,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.70 : 3,530.93 = 873.45 : x
  2. Step 2: Convert to fraction form
    2,354.70/3,530.93 = 873.45/x
  3. Step 3: Cross multiply
    2,354.70x = 3,530.93 × 873.45
  4. Step 4: Simplify right side
    2,354.70x = 3,084,086.44
  5. Step 5: Solve for x
    x = 3,084,086.44/2,354.70
  6. Step 6: Final answer
    x = 1,309.76

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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.