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Finding the Fourth Proportional to 2,114.86, 3,172.37 and 653.97

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Solution

The fourth proportional to 2,114.86, 3,172.37 and 653.97 is: 980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.86 : 3,172.37 = 653.97 : x
  2. Step 2: Convert to fraction form
    2,114.86/3,172.37 = 653.97/x
  3. Step 3: Cross multiply
    2,114.86x = 3,172.37 × 653.97
  4. Step 4: Simplify right side
    2,114.86x = 2,074,643.44
  5. Step 5: Solve for x
    x = 2,074,643.44/2,114.86
  6. Step 6: Final answer
    x = 980.98

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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.