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Finding the Fourth Proportional to 9,308.40, 13,928.04 and 5,207.28

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Solution

The fourth proportional to 9,308.40, 13,928.04 and 5,207.28 is: 7,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 13,928.04 = 5,207.28 : x
  2. Step 2: Convert to fraction form
    9,308.40/13,928.04 = 5,207.28/x
  3. Step 3: Cross multiply
    9,308.40x = 13,928.04 × 5,207.28
  4. Step 4: Simplify right side
    9,308.40x = 72,527,204.13
  5. Step 5: Solve for x
    x = 72,527,204.13/9,308.40
  6. Step 6: Final answer
    x = 7,791.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.