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Finding the Fourth Proportional to 4,645.81, 6,971.99 and 2,180.71

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Solution

The fourth proportional to 4,645.81, 6,971.99 and 2,180.71 is: 3,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.81 : 6,971.99 = 2,180.71 : x
  2. Step 2: Convert to fraction form
    4,645.81/6,971.99 = 2,180.71/x
  3. Step 3: Cross multiply
    4,645.81x = 6,971.99 × 2,180.71
  4. Step 4: Simplify right side
    4,645.81x = 15,203,888.31
  5. Step 5: Solve for x
    x = 15,203,888.31/4,645.81
  6. Step 6: Final answer
    x = 3,272.60

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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.