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Finding the Fourth Proportional to 11,475.78, 15,839.94 and 7,497.54

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Solution

The fourth proportional to 11,475.78, 15,839.94 and 7,497.54 is: 10,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.78 : 15,839.94 = 7,497.54 : x
  2. Step 2: Convert to fraction form
    11,475.78/15,839.94 = 7,497.54/x
  3. Step 3: Cross multiply
    11,475.78x = 15,839.94 × 7,497.54
  4. Step 4: Simplify right side
    11,475.78x = 118,760,583.75
  5. Step 5: Solve for x
    x = 118,760,583.75/11,475.78
  6. Step 6: Final answer
    x = 10,348.80

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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.