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Finding the Fourth Proportional to 10,661, 14,721.22 and 6,688.68

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Solution

The fourth proportional to 10,661, 14,721.22 and 6,688.68 is: 9,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661 : 14,721.22 = 6,688.68 : x
  2. Step 2: Convert to fraction form
    10,661/14,721.22 = 6,688.68/x
  3. Step 3: Cross multiply
    10,661x = 14,721.22 × 6,688.68
  4. Step 4: Simplify right side
    10,661x = 98,465,529.79
  5. Step 5: Solve for x
    x = 98,465,529.79/10,661
  6. Step 6: Final answer
    x = 9,236.05

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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.