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Finding the Fourth Proportional to 9,188.88, 12,674.16 and 6,357.12

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Solution

The fourth proportional to 9,188.88, 12,674.16 and 6,357.12 is: 8,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.88 : 12,674.16 = 6,357.12 : x
  2. Step 2: Convert to fraction form
    9,188.88/12,674.16 = 6,357.12/x
  3. Step 3: Cross multiply
    9,188.88x = 12,674.16 × 6,357.12
  4. Step 4: Simplify right side
    9,188.88x = 80,571,156.02
  5. Step 5: Solve for x
    x = 80,571,156.02/9,188.88
  6. Step 6: Final answer
    x = 8,768.33

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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.