Home / 2,114.26-3,171.40-653.50

Finding the Fourth Proportional to 2,114.26, 3,171.40 and 653.50

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Solution

The fourth proportional to 2,114.26, 3,171.40 and 653.50 is: 980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.26 : 3,171.40 = 653.50 : x
  2. Step 2: Convert to fraction form
    2,114.26/3,171.40 = 653.50/x
  3. Step 3: Cross multiply
    2,114.26x = 3,171.40 × 653.50
  4. Step 4: Simplify right side
    2,114.26x = 2,072,509.90
  5. Step 5: Solve for x
    x = 2,072,509.90/2,114.26
  6. Step 6: Final answer
    x = 980.25

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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.