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Finding the Fourth Proportional to 2,801.95, 4,203.16 and 854.17

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Solution

The fourth proportional to 2,801.95, 4,203.16 and 854.17 is: 1,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.95 : 4,203.16 = 854.17 : x
  2. Step 2: Convert to fraction form
    2,801.95/4,203.16 = 854.17/x
  3. Step 3: Cross multiply
    2,801.95x = 4,203.16 × 854.17
  4. Step 4: Simplify right side
    2,801.95x = 3,590,213.18
  5. Step 5: Solve for x
    x = 3,590,213.18/2,801.95
  6. Step 6: Final answer
    x = 1,281.33

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1.5x scale

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.