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Finding the Fourth Proportional to 9,291.30, 13,930.80 and 5,133.30

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Solution

The fourth proportional to 9,291.30, 13,930.80 and 5,133.30 is: 7,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.30 : 13,930.80 = 5,133.30 : x
  2. Step 2: Convert to fraction form
    9,291.30/13,930.80 = 5,133.30/x
  3. Step 3: Cross multiply
    9,291.30x = 13,930.80 × 5,133.30
  4. Step 4: Simplify right side
    9,291.30x = 71,510,975.64
  5. Step 5: Solve for x
    x = 71,510,975.64/9,291.30
  6. Step 6: Final answer
    x = 7,696.55

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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.