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Finding the Fourth Proportional to 2,875, 4,313.38 and 1,998.40

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Solution

The fourth proportional to 2,875, 4,313.38 and 1,998.40 is: 2,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875 : 4,313.38 = 1,998.40 : x
  2. Step 2: Convert to fraction form
    2,875/4,313.38 = 1,998.40/x
  3. Step 3: Cross multiply
    2,875x = 4,313.38 × 1,998.40
  4. Step 4: Simplify right side
    2,875x = 8,619,858.59
  5. Step 5: Solve for x
    x = 8,619,858.59/2,875
  6. Step 6: Final answer
    x = 2,998.21

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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.