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Finding the Fourth Proportional to 2,835.53, 4,253.31 and 861.18

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Solution

The fourth proportional to 2,835.53, 4,253.31 and 861.18 is: 1,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.53 : 4,253.31 = 861.18 : x
  2. Step 2: Convert to fraction form
    2,835.53/4,253.31 = 861.18/x
  3. Step 3: Cross multiply
    2,835.53x = 4,253.31 × 861.18
  4. Step 4: Simplify right side
    2,835.53x = 3,662,865.51
  5. Step 5: Solve for x
    x = 3,662,865.51/2,835.53
  6. Step 6: Final answer
    x = 1,291.77

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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.