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Finding the Fourth Proportional to 9,480.10, 14,190.98 and 6,186.10

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Solution

The fourth proportional to 9,480.10, 14,190.98 and 6,186.10 is: 9,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.10 : 14,190.98 = 6,186.10 : x
  2. Step 2: Convert to fraction form
    9,480.10/14,190.98 = 6,186.10/x
  3. Step 3: Cross multiply
    9,480.10x = 14,190.98 × 6,186.10
  4. Step 4: Simplify right side
    9,480.10x = 87,786,750.42
  5. Step 5: Solve for x
    x = 87,786,750.42/9,480.10
  6. Step 6: Final answer
    x = 9,260.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.