Home / 2,159.64-2,980.42-1,228.14

Finding the Fourth Proportional to 2,159.64, 2,980.42 and 1,228.14

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Solution

The fourth proportional to 2,159.64, 2,980.42 and 1,228.14 is: 1,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.64 : 2,980.42 = 1,228.14 : x
  2. Step 2: Convert to fraction form
    2,159.64/2,980.42 = 1,228.14/x
  3. Step 3: Cross multiply
    2,159.64x = 2,980.42 × 1,228.14
  4. Step 4: Simplify right side
    2,159.64x = 3,660,373.02
  5. Step 5: Solve for x
    x = 3,660,373.02/2,159.64
  6. Step 6: Final answer
    x = 1,694.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.