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Finding the Fourth Proportional to 2,798.86, 4,197.54 and 1,480.84

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Solution

The fourth proportional to 2,798.86, 4,197.54 and 1,480.84 is: 2,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.86 : 4,197.54 = 1,480.84 : x
  2. Step 2: Convert to fraction form
    2,798.86/4,197.54 = 1,480.84/x
  3. Step 3: Cross multiply
    2,798.86x = 4,197.54 × 1,480.84
  4. Step 4: Simplify right side
    2,798.86x = 6,215,885.13
  5. Step 5: Solve for x
    x = 6,215,885.13/2,798.86
  6. Step 6: Final answer
    x = 2,220.86

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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.