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Finding the Fourth Proportional to 11,770.66, 17,658.27 and 3,980.02

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Solution

The fourth proportional to 11,770.66, 17,658.27 and 3,980.02 is: 5,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.66 : 17,658.27 = 3,980.02 : x
  2. Step 2: Convert to fraction form
    11,770.66/17,658.27 = 3,980.02/x
  3. Step 3: Cross multiply
    11,770.66x = 17,658.27 × 3,980.02
  4. Step 4: Simplify right side
    11,770.66x = 70,280,267.77
  5. Step 5: Solve for x
    x = 70,280,267.77/11,770.66
  6. Step 6: Final answer
    x = 5,970.80

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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.