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Finding the Fourth Proportional to 2,114.78, 3,172.10 and 653.99

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Solution

The fourth proportional to 2,114.78, 3,172.10 and 653.99 is: 980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.78 : 3,172.10 = 653.99 : x
  2. Step 2: Convert to fraction form
    2,114.78/3,172.10 = 653.99/x
  3. Step 3: Cross multiply
    2,114.78x = 3,172.10 × 653.99
  4. Step 4: Simplify right side
    2,114.78x = 2,074,502.55
  5. Step 5: Solve for x
    x = 2,074,502.55/2,114.78
  6. Step 6: Final answer
    x = 980.96

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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.