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Finding the Fourth Proportional to 4,779, 7,168.95 and 1,492.20

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Solution

The fourth proportional to 4,779, 7,168.95 and 1,492.20 is: 2,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779 : 7,168.95 = 1,492.20 : x
  2. Step 2: Convert to fraction form
    4,779/7,168.95 = 1,492.20/x
  3. Step 3: Cross multiply
    4,779x = 7,168.95 × 1,492.20
  4. Step 4: Simplify right side
    4,779x = 10,697,507.19
  5. Step 5: Solve for x
    x = 10,697,507.19/4,779
  6. Step 6: Final answer
    x = 2,238.44

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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.