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Finding the Fourth Proportional to 2,867.90, 4,290.97 and 1,698.53

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Solution

The fourth proportional to 2,867.90, 4,290.97 and 1,698.53 is: 2,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.90 : 4,290.97 = 1,698.53 : x
  2. Step 2: Convert to fraction form
    2,867.90/4,290.97 = 1,698.53/x
  3. Step 3: Cross multiply
    2,867.90x = 4,290.97 × 1,698.53
  4. Step 4: Simplify right side
    2,867.90x = 7,288,319.82
  5. Step 5: Solve for x
    x = 7,288,319.82/2,867.90
  6. Step 6: Final answer
    x = 2,541.35

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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.