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Finding the Fourth Proportional to 2,073, 3,109.80 and 1,442.46

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Solution

The fourth proportional to 2,073, 3,109.80 and 1,442.46 is: 2,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 3,109.80 = 1,442.46 : x
  2. Step 2: Convert to fraction form
    2,073/3,109.80 = 1,442.46/x
  3. Step 3: Cross multiply
    2,073x = 3,109.80 × 1,442.46
  4. Step 4: Simplify right side
    2,073x = 4,485,762.11
  5. Step 5: Solve for x
    x = 4,485,762.11/2,073
  6. Step 6: Final answer
    x = 2,163.90

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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.