Home / 2,156-2,975.28-1,224.50

Finding the Fourth Proportional to 2,156, 2,975.28 and 1,224.50

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Solution

The fourth proportional to 2,156, 2,975.28 and 1,224.50 is: 1,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 2,975.28 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    2,156/2,975.28 = 1,224.50/x
  3. Step 3: Cross multiply
    2,156x = 2,975.28 × 1,224.50
  4. Step 4: Simplify right side
    2,156x = 3,643,230.36
  5. Step 5: Solve for x
    x = 3,643,230.36/2,156
  6. Step 6: Final answer
    x = 1,689.81

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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.