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Finding the Fourth Proportional to 3,246.86, 4,867.89 and 1,297.58

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Solution

The fourth proportional to 3,246.86, 4,867.89 and 1,297.58 is: 1,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.86 : 4,867.89 = 1,297.58 : x
  2. Step 2: Convert to fraction form
    3,246.86/4,867.89 = 1,297.58/x
  3. Step 3: Cross multiply
    3,246.86x = 4,867.89 × 1,297.58
  4. Step 4: Simplify right side
    3,246.86x = 6,316,476.71
  5. Step 5: Solve for x
    x = 6,316,476.71/3,246.86
  6. Step 6: Final answer
    x = 1,945.41

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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.