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Finding the Fourth Proportional to 4,638.59, 6,958.22 and 1,865.28

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Solution

The fourth proportional to 4,638.59, 6,958.22 and 1,865.28 is: 2,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.59 : 6,958.22 = 1,865.28 : x
  2. Step 2: Convert to fraction form
    4,638.59/6,958.22 = 1,865.28/x
  3. Step 3: Cross multiply
    4,638.59x = 6,958.22 × 1,865.28
  4. Step 4: Simplify right side
    4,638.59x = 12,979,008.85
  5. Step 5: Solve for x
    x = 12,979,008.85/4,638.59
  6. Step 6: Final answer
    x = 2,798.05

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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.