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Finding the Fourth Proportional to 11,164.64, 15,404.05 and 7,188.06

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Solution

The fourth proportional to 11,164.64, 15,404.05 and 7,188.06 is: 9,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.64 : 15,404.05 = 7,188.06 : x
  2. Step 2: Convert to fraction form
    11,164.64/15,404.05 = 7,188.06/x
  3. Step 3: Cross multiply
    11,164.64x = 15,404.05 × 7,188.06
  4. Step 4: Simplify right side
    11,164.64x = 110,725,140.65
  5. Step 5: Solve for x
    x = 110,725,140.65/11,164.64
  6. Step 6: Final answer
    x = 9,917.48

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1.5x scale

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.