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Finding the Fourth Proportional to 9,123.80, 13,682.10 and 3,277.40

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Solution

The fourth proportional to 9,123.80, 13,682.10 and 3,277.40 is: 4,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.80 : 13,682.10 = 3,277.40 : x
  2. Step 2: Convert to fraction form
    9,123.80/13,682.10 = 3,277.40/x
  3. Step 3: Cross multiply
    9,123.80x = 13,682.10 × 3,277.40
  4. Step 4: Simplify right side
    9,123.80x = 44,841,714.54
  5. Step 5: Solve for x
    x = 44,841,714.54/9,123.80
  6. Step 6: Final answer
    x = 4,914.81

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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.