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Finding the Fourth Proportional to 9,811.20, 14,695.20 and 7,612.80

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Solution

The fourth proportional to 9,811.20, 14,695.20 and 7,612.80 is: 11,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.20 : 14,695.20 = 7,612.80 : x
  2. Step 2: Convert to fraction form
    9,811.20/14,695.20 = 7,612.80/x
  3. Step 3: Cross multiply
    9,811.20x = 14,695.20 × 7,612.80
  4. Step 4: Simplify right side
    9,811.20x = 111,871,618.56
  5. Step 5: Solve for x
    x = 111,871,618.56/9,811.20
  6. Step 6: Final answer
    x = 11,402.44

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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.