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Finding the Fourth Proportional to 2,032.86, 3,048.90 and 991.81

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Solution

The fourth proportional to 2,032.86, 3,048.90 and 991.81 is: 1,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.86 : 3,048.90 = 991.81 : x
  2. Step 2: Convert to fraction form
    2,032.86/3,048.90 = 991.81/x
  3. Step 3: Cross multiply
    2,032.86x = 3,048.90 × 991.81
  4. Step 4: Simplify right side
    2,032.86x = 3,023,929.51
  5. Step 5: Solve for x
    x = 3,023,929.51/2,032.86
  6. Step 6: Final answer
    x = 1,487.52

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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.