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Finding the Fourth Proportional to 2,802.31, 4,202.24 and 854.06

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Solution

The fourth proportional to 2,802.31, 4,202.24 and 854.06 is: 1,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.31 : 4,202.24 = 854.06 : x
  2. Step 2: Convert to fraction form
    2,802.31/4,202.24 = 854.06/x
  3. Step 3: Cross multiply
    2,802.31x = 4,202.24 × 854.06
  4. Step 4: Simplify right side
    2,802.31x = 3,588,965.09
  5. Step 5: Solve for x
    x = 3,588,965.09/2,802.31
  6. Step 6: Final answer
    x = 1,280.72

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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.