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Finding the Fourth Proportional to 3,047.57, 4,571.52 and 856.47

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Solution

The fourth proportional to 3,047.57, 4,571.52 and 856.47 is: 1,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.57 : 4,571.52 = 856.47 : x
  2. Step 2: Convert to fraction form
    3,047.57/4,571.52 = 856.47/x
  3. Step 3: Cross multiply
    3,047.57x = 4,571.52 × 856.47
  4. Step 4: Simplify right side
    3,047.57x = 3,915,383.67
  5. Step 5: Solve for x
    x = 3,915,383.67/3,047.57
  6. Step 6: Final answer
    x = 1,284.76

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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.