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Finding the Fourth Proportional to 9,914.12, 13,680.06 and 6,188.12

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Solution

The fourth proportional to 9,914.12, 13,680.06 and 6,188.12 is: 8,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.12 : 13,680.06 = 6,188.12 : x
  2. Step 2: Convert to fraction form
    9,914.12/13,680.06 = 6,188.12/x
  3. Step 3: Cross multiply
    9,914.12x = 13,680.06 × 6,188.12
  4. Step 4: Simplify right side
    9,914.12x = 84,653,852.89
  5. Step 5: Solve for x
    x = 84,653,852.89/9,914.12
  6. Step 6: Final answer
    x = 8,538.72

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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.