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Finding the Fourth Proportional to 7,051.96, 9,731.64 and 3,908.08

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Solution

The fourth proportional to 7,051.96, 9,731.64 and 3,908.08 is: 5,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.96 : 9,731.64 = 3,908.08 : x
  2. Step 2: Convert to fraction form
    7,051.96/9,731.64 = 3,908.08/x
  3. Step 3: Cross multiply
    7,051.96x = 9,731.64 × 3,908.08
  4. Step 4: Simplify right side
    7,051.96x = 38,032,027.65
  5. Step 5: Solve for x
    x = 38,032,027.65/7,051.96
  6. Step 6: Final answer
    x = 5,393.11

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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.