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Finding the Fourth Proportional to 9,921.16, 14,873.10 and 8,469.64

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Solution

The fourth proportional to 9,921.16, 14,873.10 and 8,469.64 is: 12,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.16 : 14,873.10 = 8,469.64 : x
  2. Step 2: Convert to fraction form
    9,921.16/14,873.10 = 8,469.64/x
  3. Step 3: Cross multiply
    9,921.16x = 14,873.10 × 8,469.64
  4. Step 4: Simplify right side
    9,921.16x = 125,969,802.68
  5. Step 5: Solve for x
    x = 125,969,802.68/9,921.16
  6. Step 6: Final answer
    x = 12,697.08

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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.