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Finding the Fourth Proportional to 4,929.86, 7,395.88 and 1,642.88

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Solution

The fourth proportional to 4,929.86, 7,395.88 and 1,642.88 is: 2,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.86 : 7,395.88 = 1,642.88 : x
  2. Step 2: Convert to fraction form
    4,929.86/7,395.88 = 1,642.88/x
  3. Step 3: Cross multiply
    4,929.86x = 7,395.88 × 1,642.88
  4. Step 4: Simplify right side
    4,929.86x = 12,150,543.33
  5. Step 5: Solve for x
    x = 12,150,543.33/4,929.86
  6. Step 6: Final answer
    x = 2,464.68

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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.