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Finding the Fourth Proportional to 11,451.53, 15,805.42 and 7,827.26

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Solution

The fourth proportional to 11,451.53, 15,805.42 and 7,827.26 is: 10,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.53 : 15,805.42 = 7,827.26 : x
  2. Step 2: Convert to fraction form
    11,451.53/15,805.42 = 7,827.26/x
  3. Step 3: Cross multiply
    11,451.53x = 15,805.42 × 7,827.26
  4. Step 4: Simplify right side
    11,451.53x = 123,713,131.75
  5. Step 5: Solve for x
    x = 123,713,131.75/11,451.53
  6. Step 6: Final answer
    x = 10,803.20

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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.