Home / 2,102.08-3,151.60-1,007.20

Finding the Fourth Proportional to 2,102.08, 3,151.60 and 1,007.20

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Solution

The fourth proportional to 2,102.08, 3,151.60 and 1,007.20 is: 1,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.08 : 3,151.60 = 1,007.20 : x
  2. Step 2: Convert to fraction form
    2,102.08/3,151.60 = 1,007.20/x
  3. Step 3: Cross multiply
    2,102.08x = 3,151.60 × 1,007.20
  4. Step 4: Simplify right side
    2,102.08x = 3,174,291.52
  5. Step 5: Solve for x
    x = 3,174,291.52/2,102.08
  6. Step 6: Final answer
    x = 1,510.07

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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.