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Finding the Fourth Proportional to 11,911.52, 17,843.45 and 7,165.06

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Solution

The fourth proportional to 11,911.52, 17,843.45 and 7,165.06 is: 10,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.52 : 17,843.45 = 7,165.06 : x
  2. Step 2: Convert to fraction form
    11,911.52/17,843.45 = 7,165.06/x
  3. Step 3: Cross multiply
    11,911.52x = 17,843.45 × 7,165.06
  4. Step 4: Simplify right side
    11,911.52x = 127,849,300.64
  5. Step 5: Solve for x
    x = 127,849,300.64/11,911.52
  6. Step 6: Final answer
    x = 10,733.25

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1.5x scale

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.