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Finding the Fourth Proportional to 9,268.50, 13,902.82 and 2,343

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Solution

The fourth proportional to 9,268.50, 13,902.82 and 2,343 is: 3,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.50 : 13,902.82 = 2,343 : x
  2. Step 2: Convert to fraction form
    9,268.50/13,902.82 = 2,343/x
  3. Step 3: Cross multiply
    9,268.50x = 13,902.82 × 2,343
  4. Step 4: Simplify right side
    9,268.50x = 32,574,301.40
  5. Step 5: Solve for x
    x = 32,574,301.40/9,268.50
  6. Step 6: Final answer
    x = 3,514.52

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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.