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Finding the Fourth Proportional to 8,499, 12,749.58 and 2,343

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Solution

The fourth proportional to 8,499, 12,749.58 and 2,343 is: 3,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499 : 12,749.58 = 2,343 : x
  2. Step 2: Convert to fraction form
    8,499/12,749.58 = 2,343/x
  3. Step 3: Cross multiply
    8,499x = 12,749.58 × 2,343
  4. Step 4: Simplify right side
    8,499x = 29,872,265.94
  5. Step 5: Solve for x
    x = 29,872,265.94/8,499
  6. Step 6: Final answer
    x = 3,514.80

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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.