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Finding the Fourth Proportional to 11,287.64, 15,584.64 and 7,040.36

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Solution

The fourth proportional to 11,287.64, 15,584.64 and 7,040.36 is: 9,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.64 : 15,584.64 = 7,040.36 : x
  2. Step 2: Convert to fraction form
    11,287.64/15,584.64 = 7,040.36/x
  3. Step 3: Cross multiply
    11,287.64x = 15,584.64 × 7,040.36
  4. Step 4: Simplify right side
    11,287.64x = 109,721,476.07
  5. Step 5: Solve for x
    x = 109,721,476.07/11,287.64
  6. Step 6: Final answer
    x = 9,720.50

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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.