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Finding the Fourth Proportional to 2,652.10, 3,978.17 and 899.08

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Solution

The fourth proportional to 2,652.10, 3,978.17 and 899.08 is: 1,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.10 : 3,978.17 = 899.08 : x
  2. Step 2: Convert to fraction form
    2,652.10/3,978.17 = 899.08/x
  3. Step 3: Cross multiply
    2,652.10x = 3,978.17 × 899.08
  4. Step 4: Simplify right side
    2,652.10x = 3,576,693.08
  5. Step 5: Solve for x
    x = 3,576,693.08/2,652.10
  6. Step 6: Final answer
    x = 1,348.63

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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.