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Finding the Fourth Proportional to 2,114.93, 3,172.56 and 653.90

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Solution

The fourth proportional to 2,114.93, 3,172.56 and 653.90 is: 980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.93 : 3,172.56 = 653.90 : x
  2. Step 2: Convert to fraction form
    2,114.93/3,172.56 = 653.90/x
  3. Step 3: Cross multiply
    2,114.93x = 3,172.56 × 653.90
  4. Step 4: Simplify right side
    2,114.93x = 2,074,536.98
  5. Step 5: Solve for x
    x = 2,074,536.98/2,114.93
  6. Step 6: Final answer
    x = 980.90

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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.