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Finding the Fourth Proportional to 9,720.66, 14,581.04 and 5,335.72

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Solution

The fourth proportional to 9,720.66, 14,581.04 and 5,335.72 is: 8,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.66 : 14,581.04 = 5,335.72 : x
  2. Step 2: Convert to fraction form
    9,720.66/14,581.04 = 5,335.72/x
  3. Step 3: Cross multiply
    9,720.66x = 14,581.04 × 5,335.72
  4. Step 4: Simplify right side
    9,720.66x = 77,800,346.75
  5. Step 5: Solve for x
    x = 77,800,346.75/9,720.66
  6. Step 6: Final answer
    x = 8,003.61

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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.