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Finding the Fourth Proportional to 2,114.58, 3,172.24 and 653.70

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Solution

The fourth proportional to 2,114.58, 3,172.24 and 653.70 is: 980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.58 : 3,172.24 = 653.70 : x
  2. Step 2: Convert to fraction form
    2,114.58/3,172.24 = 653.70/x
  3. Step 3: Cross multiply
    2,114.58x = 3,172.24 × 653.70
  4. Step 4: Simplify right side
    2,114.58x = 2,073,693.29
  5. Step 5: Solve for x
    x = 2,073,693.29/2,114.58
  6. Step 6: Final answer
    x = 980.66

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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.