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Finding the Fourth Proportional to 3,048.15, 4,572.24 and 856.92

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Solution

The fourth proportional to 3,048.15, 4,572.24 and 856.92 is: 1,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.15 : 4,572.24 = 856.92 : x
  2. Step 2: Convert to fraction form
    3,048.15/4,572.24 = 856.92/x
  3. Step 3: Cross multiply
    3,048.15x = 4,572.24 × 856.92
  4. Step 4: Simplify right side
    3,048.15x = 3,918,043.90
  5. Step 5: Solve for x
    x = 3,918,043.90/3,048.15
  6. Step 6: Final answer
    x = 1,285.38

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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.