Home / 3,538.64-5,303.36-1,456.28

Finding the Fourth Proportional to 3,538.64, 5,303.36 and 1,456.28

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Solution

The fourth proportional to 3,538.64, 5,303.36 and 1,456.28 is: 2,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.64 : 5,303.36 = 1,456.28 : x
  2. Step 2: Convert to fraction form
    3,538.64/5,303.36 = 1,456.28/x
  3. Step 3: Cross multiply
    3,538.64x = 5,303.36 × 1,456.28
  4. Step 4: Simplify right side
    3,538.64x = 7,723,177.10
  5. Step 5: Solve for x
    x = 7,723,177.10/3,538.64
  6. Step 6: Final answer
    x = 2,182.53

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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.