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Finding the Fourth Proportional to 7,798.10, 11,690.46 and 2,865.20

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Solution

The fourth proportional to 7,798.10, 11,690.46 and 2,865.20 is: 4,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.10 : 11,690.46 = 2,865.20 : x
  2. Step 2: Convert to fraction form
    7,798.10/11,690.46 = 2,865.20/x
  3. Step 3: Cross multiply
    7,798.10x = 11,690.46 × 2,865.20
  4. Step 4: Simplify right side
    7,798.10x = 33,495,447.54
  5. Step 5: Solve for x
    x = 33,495,447.54/7,798.10
  6. Step 6: Final answer
    x = 4,295.34

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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.