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Finding the Fourth Proportional to 3,054, 4,214.55 and 1,656.78

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Solution

The fourth proportional to 3,054, 4,214.55 and 1,656.78 is: 2,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 4,214.55 = 1,656.78 : x
  2. Step 2: Convert to fraction form
    3,054/4,214.55 = 1,656.78/x
  3. Step 3: Cross multiply
    3,054x = 4,214.55 × 1,656.78
  4. Step 4: Simplify right side
    3,054x = 6,982,582.15
  5. Step 5: Solve for x
    x = 6,982,582.15/3,054
  6. Step 6: Final answer
    x = 2,286.37

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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.