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Finding the Fourth Proportional to 2,804.31, 4,207.14 and 856.71

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Solution

The fourth proportional to 2,804.31, 4,207.14 and 856.71 is: 1,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.31 : 4,207.14 = 856.71 : x
  2. Step 2: Convert to fraction form
    2,804.31/4,207.14 = 856.71/x
  3. Step 3: Cross multiply
    2,804.31x = 4,207.14 × 856.71
  4. Step 4: Simplify right side
    2,804.31x = 3,604,298.91
  5. Step 5: Solve for x
    x = 3,604,298.91/2,804.31
  6. Step 6: Final answer
    x = 1,285.27

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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.