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Finding the Fourth Proportional to 7,003.47, 9,664.66 and 3,816.79

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Solution

The fourth proportional to 7,003.47, 9,664.66 and 3,816.79 is: 5,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.47 : 9,664.66 = 3,816.79 : x
  2. Step 2: Convert to fraction form
    7,003.47/9,664.66 = 3,816.79/x
  3. Step 3: Cross multiply
    7,003.47x = 9,664.66 × 3,816.79
  4. Step 4: Simplify right side
    7,003.47x = 36,887,977.64
  5. Step 5: Solve for x
    x = 36,887,977.64/7,003.47
  6. Step 6: Final answer
    x = 5,267.10

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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.