Home / 3,270-4,901.76-1,535.52

Finding the Fourth Proportional to 3,270, 4,901.76 and 1,535.52

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Solution

The fourth proportional to 3,270, 4,901.76 and 1,535.52 is: 2,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270 : 4,901.76 = 1,535.52 : x
  2. Step 2: Convert to fraction form
    3,270/4,901.76 = 1,535.52/x
  3. Step 3: Cross multiply
    3,270x = 4,901.76 × 1,535.52
  4. Step 4: Simplify right side
    3,270x = 7,526,750.52
  5. Step 5: Solve for x
    x = 7,526,750.52/3,270
  6. Step 6: Final answer
    x = 2,301.76

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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.