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Finding the Fourth Proportional to 4,656.79, 6,982.48 and 1,881.19

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Solution

The fourth proportional to 4,656.79, 6,982.48 and 1,881.19 is: 2,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.79 : 6,982.48 = 1,881.19 : x
  2. Step 2: Convert to fraction form
    4,656.79/6,982.48 = 1,881.19/x
  3. Step 3: Cross multiply
    4,656.79x = 6,982.48 × 1,881.19
  4. Step 4: Simplify right side
    4,656.79x = 13,135,371.55
  5. Step 5: Solve for x
    x = 13,135,371.55/4,656.79
  6. Step 6: Final answer
    x = 2,820.69

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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.