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Finding the Fourth Proportional to 11,491.71, 15,856.63 and 6,776.92

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Solution

The fourth proportional to 11,491.71, 15,856.63 and 6,776.92 is: 9,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.71 : 15,856.63 = 6,776.92 : x
  2. Step 2: Convert to fraction form
    11,491.71/15,856.63 = 6,776.92/x
  3. Step 3: Cross multiply
    11,491.71x = 15,856.63 × 6,776.92
  4. Step 4: Simplify right side
    11,491.71x = 107,459,112.98
  5. Step 5: Solve for x
    x = 107,459,112.98/11,491.71
  6. Step 6: Final answer
    x = 9,351.01

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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.