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Finding the Fourth Proportional to 9,405.88, 14,118 and 4,478.92

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Solution

The fourth proportional to 9,405.88, 14,118 and 4,478.92 is: 6,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.88 : 14,118 = 4,478.92 : x
  2. Step 2: Convert to fraction form
    9,405.88/14,118 = 4,478.92/x
  3. Step 3: Cross multiply
    9,405.88x = 14,118 × 4,478.92
  4. Step 4: Simplify right side
    9,405.88x = 63,233,392.56
  5. Step 5: Solve for x
    x = 63,233,392.56/9,405.88
  6. Step 6: Final answer
    x = 6,722.75

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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.