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Finding the Fourth Proportional to 10,971.12, 15,129.09 and 8,288.94

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Solution

The fourth proportional to 10,971.12, 15,129.09 and 8,288.94 is: 11,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.12 : 15,129.09 = 8,288.94 : x
  2. Step 2: Convert to fraction form
    10,971.12/15,129.09 = 8,288.94/x
  3. Step 3: Cross multiply
    10,971.12x = 15,129.09 × 8,288.94
  4. Step 4: Simplify right side
    10,971.12x = 125,404,119.26
  5. Step 5: Solve for x
    x = 125,404,119.26/10,971.12
  6. Step 6: Final answer
    x = 11,430.38

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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.