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Finding the Fourth Proportional to 2,658, 3,988.62 and 1,119

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Solution

The fourth proportional to 2,658, 3,988.62 and 1,119 is: 1,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658 : 3,988.62 = 1,119 : x
  2. Step 2: Convert to fraction form
    2,658/3,988.62 = 1,119/x
  3. Step 3: Cross multiply
    2,658x = 3,988.62 × 1,119
  4. Step 4: Simplify right side
    2,658x = 4,463,265.78
  5. Step 5: Solve for x
    x = 4,463,265.78/2,658
  6. Step 6: Final answer
    x = 1,679.18

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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.