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Finding the Fourth Proportional to 8,948, 12,349.70 and 5,221.28

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Solution

The fourth proportional to 8,948, 12,349.70 and 5,221.28 is: 7,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948 : 12,349.70 = 5,221.28 : x
  2. Step 2: Convert to fraction form
    8,948/12,349.70 = 5,221.28/x
  3. Step 3: Cross multiply
    8,948x = 12,349.70 × 5,221.28
  4. Step 4: Simplify right side
    8,948x = 64,481,241.62
  5. Step 5: Solve for x
    x = 64,481,241.62/8,948
  6. Step 6: Final answer
    x = 7,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.