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Finding the Fourth Proportional to 10,914.62, 15,068.86 and 6,728.54

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Solution

The fourth proportional to 10,914.62, 15,068.86 and 6,728.54 is: 9,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.62 : 15,068.86 = 6,728.54 : x
  2. Step 2: Convert to fraction form
    10,914.62/15,068.86 = 6,728.54/x
  3. Step 3: Cross multiply
    10,914.62x = 15,068.86 × 6,728.54
  4. Step 4: Simplify right side
    10,914.62x = 101,391,427.26
  5. Step 5: Solve for x
    x = 101,391,427.26/10,914.62
  6. Step 6: Final answer
    x = 9,289.51

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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.