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Finding the Fourth Proportional to 9,486.72, 14,218.11 and 4,807.91

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Solution

The fourth proportional to 9,486.72, 14,218.11 and 4,807.91 is: 7,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.72 : 14,218.11 = 4,807.91 : x
  2. Step 2: Convert to fraction form
    9,486.72/14,218.11 = 4,807.91/x
  3. Step 3: Cross multiply
    9,486.72x = 14,218.11 × 4,807.91
  4. Step 4: Simplify right side
    9,486.72x = 68,359,322.16
  5. Step 5: Solve for x
    x = 68,359,322.16/9,486.72
  6. Step 6: Final answer
    x = 7,205.79

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Why These Related Problems?

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