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Finding the Fourth Proportional to 1,998.81, 2,756.48 and 1,580.16

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Solution

The fourth proportional to 1,998.81, 2,756.48 and 1,580.16 is: 2,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.81 : 2,756.48 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    1,998.81/2,756.48 = 1,580.16/x
  3. Step 3: Cross multiply
    1,998.81x = 2,756.48 × 1,580.16
  4. Step 4: Simplify right side
    1,998.81x = 4,355,675.26
  5. Step 5: Solve for x
    x = 4,355,675.26/1,998.81
  6. Step 6: Final answer
    x = 2,179.13

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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.