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Finding the Fourth Proportional to 2,214.41, 3,321.63 and 753.53

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Solution

The fourth proportional to 2,214.41, 3,321.63 and 753.53 is: 1,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.41 : 3,321.63 = 753.53 : x
  2. Step 2: Convert to fraction form
    2,214.41/3,321.63 = 753.53/x
  3. Step 3: Cross multiply
    2,214.41x = 3,321.63 × 753.53
  4. Step 4: Simplify right side
    2,214.41x = 2,502,931.25
  5. Step 5: Solve for x
    x = 2,502,931.25/2,214.41
  6. Step 6: Final answer
    x = 1,130.30

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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.