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Finding the Fourth Proportional to 9,644.32, 14,438 and 7,189.92

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Solution

The fourth proportional to 9,644.32, 14,438 and 7,189.92 is: 10,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.32 : 14,438 = 7,189.92 : x
  2. Step 2: Convert to fraction form
    9,644.32/14,438 = 7,189.92/x
  3. Step 3: Cross multiply
    9,644.32x = 14,438 × 7,189.92
  4. Step 4: Simplify right side
    9,644.32x = 103,808,064.96
  5. Step 5: Solve for x
    x = 103,808,064.96/9,644.32
  6. Step 6: Final answer
    x = 10,763.65

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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.