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Finding the Fourth Proportional to 11,756.70, 16,224.59 and 6,721.74

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Solution

The fourth proportional to 11,756.70, 16,224.59 and 6,721.74 is: 9,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.70 : 16,224.59 = 6,721.74 : x
  2. Step 2: Convert to fraction form
    11,756.70/16,224.59 = 6,721.74/x
  3. Step 3: Cross multiply
    11,756.70x = 16,224.59 × 6,721.74
  4. Step 4: Simplify right side
    11,756.70x = 109,057,475.59
  5. Step 5: Solve for x
    x = 109,057,475.59/11,756.70
  6. Step 6: Final answer
    x = 9,276.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.