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Finding the Fourth Proportional to 2,032.08, 3,048.20 and 715.84

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Solution

The fourth proportional to 2,032.08, 3,048.20 and 715.84 is: 1,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.08 : 3,048.20 = 715.84 : x
  2. Step 2: Convert to fraction form
    2,032.08/3,048.20 = 715.84/x
  3. Step 3: Cross multiply
    2,032.08x = 3,048.20 × 715.84
  4. Step 4: Simplify right side
    2,032.08x = 2,182,023.49
  5. Step 5: Solve for x
    x = 2,182,023.49/2,032.08
  6. Step 6: Final answer
    x = 1,073.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.