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Finding the Fourth Proportional to 2,989.30, 4,483.85 and 797.91

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Solution

The fourth proportional to 2,989.30, 4,483.85 and 797.91 is: 1,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.30 : 4,483.85 = 797.91 : x
  2. Step 2: Convert to fraction form
    2,989.30/4,483.85 = 797.91/x
  3. Step 3: Cross multiply
    2,989.30x = 4,483.85 × 797.91
  4. Step 4: Simplify right side
    2,989.30x = 3,577,704.76
  5. Step 5: Solve for x
    x = 3,577,704.76/2,989.30
  6. Step 6: Final answer
    x = 1,196.84

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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.