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Finding the Fourth Proportional to 4,395, 6,591.75 and 1,929.16

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Solution

The fourth proportional to 4,395, 6,591.75 and 1,929.16 is: 2,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395 : 6,591.75 = 1,929.16 : x
  2. Step 2: Convert to fraction form
    4,395/6,591.75 = 1,929.16/x
  3. Step 3: Cross multiply
    4,395x = 6,591.75 × 1,929.16
  4. Step 4: Simplify right side
    4,395x = 12,716,540.43
  5. Step 5: Solve for x
    x = 12,716,540.43/4,395
  6. Step 6: Final answer
    x = 2,893.41

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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.