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Finding the Fourth Proportional to 1,823.31, 2,735.49 and 899.14

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Solution

The fourth proportional to 1,823.31, 2,735.49 and 899.14 is: 1,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.31 : 2,735.49 = 899.14 : x
  2. Step 2: Convert to fraction form
    1,823.31/2,735.49 = 899.14/x
  3. Step 3: Cross multiply
    1,823.31x = 2,735.49 × 899.14
  4. Step 4: Simplify right side
    1,823.31x = 2,459,588.48
  5. Step 5: Solve for x
    x = 2,459,588.48/1,823.31
  6. Step 6: Final answer
    x = 1,348.97

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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.