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Finding the Fourth Proportional to 7,952, 11,926.40 and 2,758.08

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Solution

The fourth proportional to 7,952, 11,926.40 and 2,758.08 is: 4,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952 : 11,926.40 = 2,758.08 : x
  2. Step 2: Convert to fraction form
    7,952/11,926.40 = 2,758.08/x
  3. Step 3: Cross multiply
    7,952x = 11,926.40 × 2,758.08
  4. Step 4: Simplify right side
    7,952x = 32,893,965.31
  5. Step 5: Solve for x
    x = 32,893,965.31/7,952
  6. Step 6: Final answer
    x = 4,136.57

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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.