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Finding the Fourth Proportional to 4,986.96, 7,478.16 and 1,864.68

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Solution

The fourth proportional to 4,986.96, 7,478.16 and 1,864.68 is: 2,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.96 : 7,478.16 = 1,864.68 : x
  2. Step 2: Convert to fraction form
    4,986.96/7,478.16 = 1,864.68/x
  3. Step 3: Cross multiply
    4,986.96x = 7,478.16 × 1,864.68
  4. Step 4: Simplify right side
    4,986.96x = 13,944,375.39
  5. Step 5: Solve for x
    x = 13,944,375.39/4,986.96
  6. Step 6: Final answer
    x = 2,796.17

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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.