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Finding the Fourth Proportional to 11,154.93, 15,395.09 and 6,678.68

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Solution

The fourth proportional to 11,154.93, 15,395.09 and 6,678.68 is: 9,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.93 : 15,395.09 = 6,678.68 : x
  2. Step 2: Convert to fraction form
    11,154.93/15,395.09 = 6,678.68/x
  3. Step 3: Cross multiply
    11,154.93x = 15,395.09 × 6,678.68
  4. Step 4: Simplify right side
    11,154.93x = 102,818,769.31
  5. Step 5: Solve for x
    x = 102,818,769.31/11,154.93
  6. Step 6: Final answer
    x = 9,217.34

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Double scale
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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.