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Finding the Fourth Proportional to 2,804.27, 4,207.10 and 856.49

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Solution

The fourth proportional to 2,804.27, 4,207.10 and 856.49 is: 1,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.27 : 4,207.10 = 856.49 : x
  2. Step 2: Convert to fraction form
    2,804.27/4,207.10 = 856.49/x
  3. Step 3: Cross multiply
    2,804.27x = 4,207.10 × 856.49
  4. Step 4: Simplify right side
    2,804.27x = 3,603,313.76
  5. Step 5: Solve for x
    x = 3,603,313.76/2,804.27
  6. Step 6: Final answer
    x = 1,284.94

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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.