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Finding the Fourth Proportional to 3,125, 4,313.04 and 1,883

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Solution

The fourth proportional to 3,125, 4,313.04 and 1,883 is: 2,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125 : 4,313.04 = 1,883 : x
  2. Step 2: Convert to fraction form
    3,125/4,313.04 = 1,883/x
  3. Step 3: Cross multiply
    3,125x = 4,313.04 × 1,883
  4. Step 4: Simplify right side
    3,125x = 8,121,454.32
  5. Step 5: Solve for x
    x = 8,121,454.32/3,125
  6. Step 6: Final answer
    x = 2,598.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.