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Finding the Fourth Proportional to 1,901.63, 2,850.31 and 1,437.90

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Solution

The fourth proportional to 1,901.63, 2,850.31 and 1,437.90 is: 2,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.63 : 2,850.31 = 1,437.90 : x
  2. Step 2: Convert to fraction form
    1,901.63/2,850.31 = 1,437.90/x
  3. Step 3: Cross multiply
    1,901.63x = 2,850.31 × 1,437.90
  4. Step 4: Simplify right side
    1,901.63x = 4,098,460.75
  5. Step 5: Solve for x
    x = 4,098,460.75/1,901.63
  6. Step 6: Final answer
    x = 2,155.24

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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.