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Finding the Fourth Proportional to 2,192.70, 3,289.05 and 653.50

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Solution

The fourth proportional to 2,192.70, 3,289.05 and 653.50 is: 980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.70 : 3,289.05 = 653.50 : x
  2. Step 2: Convert to fraction form
    2,192.70/3,289.05 = 653.50/x
  3. Step 3: Cross multiply
    2,192.70x = 3,289.05 × 653.50
  4. Step 4: Simplify right side
    2,192.70x = 2,149,394.18
  5. Step 5: Solve for x
    x = 2,149,394.18/2,192.70
  6. Step 6: Final answer
    x = 980.25

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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.