Home / 2,146.16-3,214.73-1,102.98

Finding the Fourth Proportional to 2,146.16, 3,214.73 and 1,102.98

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Solution

The fourth proportional to 2,146.16, 3,214.73 and 1,102.98 is: 1,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.16 : 3,214.73 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    2,146.16/3,214.73 = 1,102.98/x
  3. Step 3: Cross multiply
    2,146.16x = 3,214.73 × 1,102.98
  4. Step 4: Simplify right side
    2,146.16x = 3,545,782.90
  5. Step 5: Solve for x
    x = 3,545,782.90/2,146.16
  6. Step 6: Final answer
    x = 1,652.15

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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.