Home / 2,353.12-3,530.14-709.80

Finding the Fourth Proportional to 2,353.12, 3,530.14 and 709.80

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Solution

The fourth proportional to 2,353.12, 3,530.14 and 709.80 is: 1,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.12 : 3,530.14 = 709.80 : x
  2. Step 2: Convert to fraction form
    2,353.12/3,530.14 = 709.80/x
  3. Step 3: Cross multiply
    2,353.12x = 3,530.14 × 709.80
  4. Step 4: Simplify right side
    2,353.12x = 2,505,693.37
  5. Step 5: Solve for x
    x = 2,505,693.37/2,353.12
  6. Step 6: Final answer
    x = 1,064.84

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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.