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Finding the Fourth Proportional to 2,357.29, 3,530.80 and 2,151.01

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Solution

The fourth proportional to 2,357.29, 3,530.80 and 2,151.01 is: 3,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.29 : 3,530.80 = 2,151.01 : x
  2. Step 2: Convert to fraction form
    2,357.29/3,530.80 = 2,151.01/x
  3. Step 3: Cross multiply
    2,357.29x = 3,530.80 × 2,151.01
  4. Step 4: Simplify right side
    2,357.29x = 7,594,786.11
  5. Step 5: Solve for x
    x = 7,594,786.11/2,357.29
  6. Step 6: Final answer
    x = 3,221.83

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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.