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Finding the Fourth Proportional to 2,114.65, 3,172.07 and 653.82

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Solution

The fourth proportional to 2,114.65, 3,172.07 and 653.82 is: 980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.65 : 3,172.07 = 653.82 : x
  2. Step 2: Convert to fraction form
    2,114.65/3,172.07 = 653.82/x
  3. Step 3: Cross multiply
    2,114.65x = 3,172.07 × 653.82
  4. Step 4: Simplify right side
    2,114.65x = 2,073,962.81
  5. Step 5: Solve for x
    x = 2,073,962.81/2,114.65
  6. Step 6: Final answer
    x = 980.76

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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.