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Finding the Fourth Proportional to 10,859.07, 16,291 and 6,181.28

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Solution

The fourth proportional to 10,859.07, 16,291 and 6,181.28 is: 9,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.07 : 16,291 = 6,181.28 : x
  2. Step 2: Convert to fraction form
    10,859.07/16,291 = 6,181.28/x
  3. Step 3: Cross multiply
    10,859.07x = 16,291 × 6,181.28
  4. Step 4: Simplify right side
    10,859.07x = 100,699,232.48
  5. Step 5: Solve for x
    x = 100,699,232.48/10,859.07
  6. Step 6: Final answer
    x = 9,273.28

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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.