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Finding the Fourth Proportional to 3,195.76, 4,410.55 and 1,798.50

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Solution

The fourth proportional to 3,195.76, 4,410.55 and 1,798.50 is: 2,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.76 : 4,410.55 = 1,798.50 : x
  2. Step 2: Convert to fraction form
    3,195.76/4,410.55 = 1,798.50/x
  3. Step 3: Cross multiply
    3,195.76x = 4,410.55 × 1,798.50
  4. Step 4: Simplify right side
    3,195.76x = 7,932,374.18
  5. Step 5: Solve for x
    x = 7,932,374.18/3,195.76
  6. Step 6: Final answer
    x = 2,482.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.