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Finding the Fourth Proportional to 2,319, 3,199.82 and 1,532.64

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Solution

The fourth proportional to 2,319, 3,199.82 and 1,532.64 is: 2,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319 : 3,199.82 = 1,532.64 : x
  2. Step 2: Convert to fraction form
    2,319/3,199.82 = 1,532.64/x
  3. Step 3: Cross multiply
    2,319x = 3,199.82 × 1,532.64
  4. Step 4: Simplify right side
    2,319x = 4,904,172.12
  5. Step 5: Solve for x
    x = 4,904,172.12/2,319
  6. Step 6: Final answer
    x = 2,114.78

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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.