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Finding the Fourth Proportional to 13,038, 17,992.44 and 7,150

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Solution

The fourth proportional to 13,038, 17,992.44 and 7,150 is: 9,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 17,992.44 = 7,150 : x
  2. Step 2: Convert to fraction form
    13,038/17,992.44 = 7,150/x
  3. Step 3: Cross multiply
    13,038x = 17,992.44 × 7,150
  4. Step 4: Simplify right side
    13,038x = 128,645,946.00
  5. Step 5: Solve for x
    x = 128,645,946.00/13,038
  6. Step 6: Final answer
    x = 9,867.00

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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.