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Finding the Fourth Proportional to 7,239.64, 9,991.15 and 4,214.82

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Solution

The fourth proportional to 7,239.64, 9,991.15 and 4,214.82 is: 5,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.64 : 9,991.15 = 4,214.82 : x
  2. Step 2: Convert to fraction form
    7,239.64/9,991.15 = 4,214.82/x
  3. Step 3: Cross multiply
    7,239.64x = 9,991.15 × 4,214.82
  4. Step 4: Simplify right side
    7,239.64x = 42,110,898.84
  5. Step 5: Solve for x
    x = 42,110,898.84/7,239.64
  6. Step 6: Final answer
    x = 5,816.71

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1.5x scale

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.