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Finding the Fourth Proportional to 3,047.92, 4,572.06 and 856.83

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Solution

The fourth proportional to 3,047.92, 4,572.06 and 856.83 is: 1,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.92 : 4,572.06 = 856.83 : x
  2. Step 2: Convert to fraction form
    3,047.92/4,572.06 = 856.83/x
  3. Step 3: Cross multiply
    3,047.92x = 4,572.06 × 856.83
  4. Step 4: Simplify right side
    3,047.92x = 3,917,478.17
  5. Step 5: Solve for x
    x = 3,917,478.17/3,047.92
  6. Step 6: Final answer
    x = 1,285.30

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1.5x scale

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.