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Finding the Fourth Proportional to 9,188.88, 13,686 and 9,144.08

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Solution

The fourth proportional to 9,188.88, 13,686 and 9,144.08 is: 13,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.88 : 13,686 = 9,144.08 : x
  2. Step 2: Convert to fraction form
    9,188.88/13,686 = 9,144.08/x
  3. Step 3: Cross multiply
    9,188.88x = 13,686 × 9,144.08
  4. Step 4: Simplify right side
    9,188.88x = 125,145,878.88
  5. Step 5: Solve for x
    x = 125,145,878.88/9,188.88
  6. Step 6: Final answer
    x = 13,619.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.