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Finding the Fourth Proportional to 2,988.64, 4,124 and 1,662.14

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Solution

The fourth proportional to 2,988.64, 4,124 and 1,662.14 is: 2,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.64 : 4,124 = 1,662.14 : x
  2. Step 2: Convert to fraction form
    2,988.64/4,124 = 1,662.14/x
  3. Step 3: Cross multiply
    2,988.64x = 4,124 × 1,662.14
  4. Step 4: Simplify right side
    2,988.64x = 6,854,665.36
  5. Step 5: Solve for x
    x = 6,854,665.36/2,988.64
  6. Step 6: Final answer
    x = 2,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.