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Finding the Fourth Proportional to 11,505.54, 15,878.09 and 6,469.74

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Solution

The fourth proportional to 11,505.54, 15,878.09 and 6,469.74 is: 8,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.54 : 15,878.09 = 6,469.74 : x
  2. Step 2: Convert to fraction form
    11,505.54/15,878.09 = 6,469.74/x
  3. Step 3: Cross multiply
    11,505.54x = 15,878.09 × 6,469.74
  4. Step 4: Simplify right side
    11,505.54x = 102,727,130.17
  5. Step 5: Solve for x
    x = 102,727,130.17/11,505.54
  6. Step 6: Final answer
    x = 8,928.49

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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.