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Finding the Fourth Proportional to 7,770.98, 11,660.52 and 3,090

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Solution

The fourth proportional to 7,770.98, 11,660.52 and 3,090 is: 4,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.98 : 11,660.52 = 3,090 : x
  2. Step 2: Convert to fraction form
    7,770.98/11,660.52 = 3,090/x
  3. Step 3: Cross multiply
    7,770.98x = 11,660.52 × 3,090
  4. Step 4: Simplify right side
    7,770.98x = 36,031,006.80
  5. Step 5: Solve for x
    x = 36,031,006.80/7,770.98
  6. Step 6: Final answer
    x = 4,636.61

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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.