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Finding the Fourth Proportional to 3,047.79, 4,571 and 856.47

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Solution

The fourth proportional to 3,047.79, 4,571 and 856.47 is: 1,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.79 : 4,571 = 856.47 : x
  2. Step 2: Convert to fraction form
    3,047.79/4,571 = 856.47/x
  3. Step 3: Cross multiply
    3,047.79x = 4,571 × 856.47
  4. Step 4: Simplify right side
    3,047.79x = 3,914,924.37
  5. Step 5: Solve for x
    x = 3,914,924.37/3,047.79
  6. Step 6: Final answer
    x = 1,284.51

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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.