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Finding the Fourth Proportional to 2,839.64, 4,252.16 and 1,602.16

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Solution

The fourth proportional to 2,839.64, 4,252.16 and 1,602.16 is: 2,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.64 : 4,252.16 = 1,602.16 : x
  2. Step 2: Convert to fraction form
    2,839.64/4,252.16 = 1,602.16/x
  3. Step 3: Cross multiply
    2,839.64x = 4,252.16 × 1,602.16
  4. Step 4: Simplify right side
    2,839.64x = 6,812,640.67
  5. Step 5: Solve for x
    x = 6,812,640.67/2,839.64
  6. Step 6: Final answer
    x = 2,399.12

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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.