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Finding the Fourth Proportional to 11,586.70, 15,991.86 and 6,873.58

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Solution

The fourth proportional to 11,586.70, 15,991.86 and 6,873.58 is: 9,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.70 : 15,991.86 = 6,873.58 : x
  2. Step 2: Convert to fraction form
    11,586.70/15,991.86 = 6,873.58/x
  3. Step 3: Cross multiply
    11,586.70x = 15,991.86 × 6,873.58
  4. Step 4: Simplify right side
    11,586.70x = 109,921,329.06
  5. Step 5: Solve for x
    x = 109,921,329.06/11,586.70
  6. Step 6: Final answer
    x = 9,486.85

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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.