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Finding the Fourth Proportional to 2,114.81, 3,172.64 and 653.91

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Solution

The fourth proportional to 2,114.81, 3,172.64 and 653.91 is: 980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.81 : 3,172.64 = 653.91 : x
  2. Step 2: Convert to fraction form
    2,114.81/3,172.64 = 653.91/x
  3. Step 3: Cross multiply
    2,114.81x = 3,172.64 × 653.91
  4. Step 4: Simplify right side
    2,114.81x = 2,074,605.86
  5. Step 5: Solve for x
    x = 2,074,605.86/2,114.81
  6. Step 6: Final answer
    x = 980.99

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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.