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Finding the Fourth Proportional to 9,405.91, 14,098.91 and 3,478.99

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Solution

The fourth proportional to 9,405.91, 14,098.91 and 3,478.99 is: 5,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.91 : 14,098.91 = 3,478.99 : x
  2. Step 2: Convert to fraction form
    9,405.91/14,098.91 = 3,478.99/x
  3. Step 3: Cross multiply
    9,405.91x = 14,098.91 × 3,478.99
  4. Step 4: Simplify right side
    9,405.91x = 49,049,966.90
  5. Step 5: Solve for x
    x = 49,049,966.90/9,405.91
  6. Step 6: Final answer
    x = 5,214.80

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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.