Home / 3,054.26-4,214.86-1,657

Finding the Fourth Proportional to 3,054.26, 4,214.86 and 1,657

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Solution

The fourth proportional to 3,054.26, 4,214.86 and 1,657 is: 2,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.26 : 4,214.86 = 1,657 : x
  2. Step 2: Convert to fraction form
    3,054.26/4,214.86 = 1,657/x
  3. Step 3: Cross multiply
    3,054.26x = 4,214.86 × 1,657
  4. Step 4: Simplify right side
    3,054.26x = 6,984,023.02
  5. Step 5: Solve for x
    x = 6,984,023.02/3,054.26
  6. Step 6: Final answer
    x = 2,286.65

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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.