Home / 2,130.16-3,190.92-1,102

Finding the Fourth Proportional to 2,130.16, 3,190.92 and 1,102

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Solution

The fourth proportional to 2,130.16, 3,190.92 and 1,102 is: 1,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.16 : 3,190.92 = 1,102 : x
  2. Step 2: Convert to fraction form
    2,130.16/3,190.92 = 1,102/x
  3. Step 3: Cross multiply
    2,130.16x = 3,190.92 × 1,102
  4. Step 4: Simplify right side
    2,130.16x = 3,516,393.84
  5. Step 5: Solve for x
    x = 3,516,393.84/2,130.16
  6. Step 6: Final answer
    x = 1,650.77

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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.