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Finding the Fourth Proportional to 2,199.77, 3,030.31 and 1,884

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Solution

The fourth proportional to 2,199.77, 3,030.31 and 1,884 is: 2,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.77 : 3,030.31 = 1,884 : x
  2. Step 2: Convert to fraction form
    2,199.77/3,030.31 = 1,884/x
  3. Step 3: Cross multiply
    2,199.77x = 3,030.31 × 1,884
  4. Step 4: Simplify right side
    2,199.77x = 5,709,104.04
  5. Step 5: Solve for x
    x = 5,709,104.04/2,199.77
  6. Step 6: Final answer
    x = 2,595.32

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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.