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Finding the Fourth Proportional to 7,908.81, 11,864.64 and 2,643.30

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Solution

The fourth proportional to 7,908.81, 11,864.64 and 2,643.30 is: 3,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.81 : 11,864.64 = 2,643.30 : x
  2. Step 2: Convert to fraction form
    7,908.81/11,864.64 = 2,643.30/x
  3. Step 3: Cross multiply
    7,908.81x = 11,864.64 × 2,643.30
  4. Step 4: Simplify right side
    7,908.81x = 31,361,802.91
  5. Step 5: Solve for x
    x = 31,361,802.91/7,908.81
  6. Step 6: Final answer
    x = 3,965.43

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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.