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Finding the Fourth Proportional to 7,880.65, 11,820.96 and 2,952.61

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Solution

The fourth proportional to 7,880.65, 11,820.96 and 2,952.61 is: 4,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.65 : 11,820.96 = 2,952.61 : x
  2. Step 2: Convert to fraction form
    7,880.65/11,820.96 = 2,952.61/x
  3. Step 3: Cross multiply
    7,880.65x = 11,820.96 × 2,952.61
  4. Step 4: Simplify right side
    7,880.65x = 34,902,684.71
  5. Step 5: Solve for x
    x = 34,902,684.71/7,880.65
  6. Step 6: Final answer
    x = 4,428.91

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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.