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Finding the Fourth Proportional to 9,387.00, 12,954.07 and 5,138.08

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Solution

The fourth proportional to 9,387.00, 12,954.07 and 5,138.08 is: 7,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.00 : 12,954.07 = 5,138.08 : x
  2. Step 2: Convert to fraction form
    9,387.00/12,954.07 = 5,138.08/x
  3. Step 3: Cross multiply
    9,387.00x = 12,954.07 × 5,138.08
  4. Step 4: Simplify right side
    9,387.00x = 66,559,083.26
  5. Step 5: Solve for x
    x = 66,559,083.26/9,387.00
  6. Step 6: Final answer
    x = 7,090.56

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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.