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Finding the Fourth Proportional to 2,639, 3,643.34 and 2,019.16

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Solution

The fourth proportional to 2,639, 3,643.34 and 2,019.16 is: 2,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639 : 3,643.34 = 2,019.16 : x
  2. Step 2: Convert to fraction form
    2,639/3,643.34 = 2,019.16/x
  3. Step 3: Cross multiply
    2,639x = 3,643.34 × 2,019.16
  4. Step 4: Simplify right side
    2,639x = 7,356,486.39
  5. Step 5: Solve for x
    x = 7,356,486.39/2,639
  6. Step 6: Final answer
    x = 2,787.60

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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.