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Finding the Fourth Proportional to 4,659.81, 6,981.51 and 2,158.43

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Solution

The fourth proportional to 4,659.81, 6,981.51 and 2,158.43 is: 3,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.81 : 6,981.51 = 2,158.43 : x
  2. Step 2: Convert to fraction form
    4,659.81/6,981.51 = 2,158.43/x
  3. Step 3: Cross multiply
    4,659.81x = 6,981.51 × 2,158.43
  4. Step 4: Simplify right side
    4,659.81x = 15,069,065.72
  5. Step 5: Solve for x
    x = 15,069,065.72/4,659.81
  6. Step 6: Final answer
    x = 3,233.84

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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.