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Finding the Fourth Proportional to 2,214.56, 3,321.47 and 654.53

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Solution

The fourth proportional to 2,214.56, 3,321.47 and 654.53 is: 981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.56 : 3,321.47 = 654.53 : x
  2. Step 2: Convert to fraction form
    2,214.56/3,321.47 = 654.53/x
  3. Step 3: Cross multiply
    2,214.56x = 3,321.47 × 654.53
  4. Step 4: Simplify right side
    2,214.56x = 2,173,981.88
  5. Step 5: Solve for x
    x = 2,173,981.88/2,214.56
  6. Step 6: Final answer
    x = 981.68

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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.