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Finding the Fourth Proportional to 7,929.65, 11,894.58 and 3,770.08

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Solution

The fourth proportional to 7,929.65, 11,894.58 and 3,770.08 is: 5,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.65 : 11,894.58 = 3,770.08 : x
  2. Step 2: Convert to fraction form
    7,929.65/11,894.58 = 3,770.08/x
  3. Step 3: Cross multiply
    7,929.65x = 11,894.58 × 3,770.08
  4. Step 4: Simplify right side
    7,929.65x = 44,843,488.43
  5. Step 5: Solve for x
    x = 44,843,488.43/7,929.65
  6. Step 6: Final answer
    x = 5,655.17

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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.