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Finding the Fourth Proportional to 2,605.19, 3,902.72 and 1,984.32

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Solution

The fourth proportional to 2,605.19, 3,902.72 and 1,984.32 is: 2,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.19 : 3,902.72 = 1,984.32 : x
  2. Step 2: Convert to fraction form
    2,605.19/3,902.72 = 1,984.32/x
  3. Step 3: Cross multiply
    2,605.19x = 3,902.72 × 1,984.32
  4. Step 4: Simplify right side
    2,605.19x = 7,744,235.43
  5. Step 5: Solve for x
    x = 7,744,235.43/2,605.19
  6. Step 6: Final answer
    x = 2,972.62

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1.5x scale

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.