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Finding the Fourth Proportional to 11,412, 15,759.33 and 10,790.75

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Solution

The fourth proportional to 11,412, 15,759.33 and 10,790.75 is: 14,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412 : 15,759.33 = 10,790.75 : x
  2. Step 2: Convert to fraction form
    11,412/15,759.33 = 10,790.75/x
  3. Step 3: Cross multiply
    11,412x = 15,759.33 × 10,790.75
  4. Step 4: Simplify right side
    11,412x = 170,054,990.20
  5. Step 5: Solve for x
    x = 170,054,990.20/11,412
  6. Step 6: Final answer
    x = 14,901.42

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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.