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Finding the Fourth Proportional to 1,242.40, 1,867.20 and 1,220.80

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Solution

The fourth proportional to 1,242.40, 1,867.20 and 1,220.80 is: 1,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.40 : 1,867.20 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    1,242.40/1,867.20 = 1,220.80/x
  3. Step 3: Cross multiply
    1,242.40x = 1,867.20 × 1,220.80
  4. Step 4: Simplify right side
    1,242.40x = 2,279,477.76
  5. Step 5: Solve for x
    x = 2,279,477.76/1,242.40
  6. Step 6: Final answer
    x = 1,834.74

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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.