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Finding the Fourth Proportional to 11,777.10, 17,654.67 and 3,980.46

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Solution

The fourth proportional to 11,777.10, 17,654.67 and 3,980.46 is: 5,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.10 : 17,654.67 = 3,980.46 : x
  2. Step 2: Convert to fraction form
    11,777.10/17,654.67 = 3,980.46/x
  3. Step 3: Cross multiply
    11,777.10x = 17,654.67 × 3,980.46
  4. Step 4: Simplify right side
    11,777.10x = 70,273,707.75
  5. Step 5: Solve for x
    x = 70,273,707.75/11,777.10
  6. Step 6: Final answer
    x = 5,966.98

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1.5x scale

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.