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Finding the Fourth Proportional to 7,487, 11,222.82 and 3,107

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Solution

The fourth proportional to 7,487, 11,222.82 and 3,107 is: 4,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487 : 11,222.82 = 3,107 : x
  2. Step 2: Convert to fraction form
    7,487/11,222.82 = 3,107/x
  3. Step 3: Cross multiply
    7,487x = 11,222.82 × 3,107
  4. Step 4: Simplify right side
    7,487x = 34,869,301.74
  5. Step 5: Solve for x
    x = 34,869,301.74/7,487
  6. Step 6: Final answer
    x = 4,657.31

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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.