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Finding the Fourth Proportional to 10,687, 14,749.68 and 6,494.44

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Solution

The fourth proportional to 10,687, 14,749.68 and 6,494.44 is: 8,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687 : 14,749.68 = 6,494.44 : x
  2. Step 2: Convert to fraction form
    10,687/14,749.68 = 6,494.44/x
  3. Step 3: Cross multiply
    10,687x = 14,749.68 × 6,494.44
  4. Step 4: Simplify right side
    10,687x = 95,790,911.78
  5. Step 5: Solve for x
    x = 95,790,911.78/10,687
  6. Step 6: Final answer
    x = 8,963.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.