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Finding the Fourth Proportional to 11,505.84, 15,878.41 and 7,473.66

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Solution

The fourth proportional to 11,505.84, 15,878.41 and 7,473.66 is: 10,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.84 : 15,878.41 = 7,473.66 : x
  2. Step 2: Convert to fraction form
    11,505.84/15,878.41 = 7,473.66/x
  3. Step 3: Cross multiply
    11,505.84x = 15,878.41 × 7,473.66
  4. Step 4: Simplify right side
    11,505.84x = 118,669,837.68
  5. Step 5: Solve for x
    x = 118,669,837.68/11,505.84
  6. Step 6: Final answer
    x = 10,313.88

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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.