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Finding the Fourth Proportional to 11,478.04, 15,843.54 and 7,450.36

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Solution

The fourth proportional to 11,478.04, 15,843.54 and 7,450.36 is: 10,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.04 : 15,843.54 = 7,450.36 : x
  2. Step 2: Convert to fraction form
    11,478.04/15,843.54 = 7,450.36/x
  3. Step 3: Cross multiply
    11,478.04x = 15,843.54 × 7,450.36
  4. Step 4: Simplify right side
    11,478.04x = 118,040,076.67
  5. Step 5: Solve for x
    x = 118,040,076.67/11,478.04
  6. Step 6: Final answer
    x = 10,283.99

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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.