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Finding the Fourth Proportional to 2,158.39, 2,978.66 and 1,214.20

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Solution

The fourth proportional to 2,158.39, 2,978.66 and 1,214.20 is: 1,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.39 : 2,978.66 = 1,214.20 : x
  2. Step 2: Convert to fraction form
    2,158.39/2,978.66 = 1,214.20/x
  3. Step 3: Cross multiply
    2,158.39x = 2,978.66 × 1,214.20
  4. Step 4: Simplify right side
    2,158.39x = 3,616,688.97
  5. Step 5: Solve for x
    x = 3,616,688.97/2,158.39
  6. Step 6: Final answer
    x = 1,675.64

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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.