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Finding the Fourth Proportional to 2,804.62, 4,207.53 and 856.76

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Solution

The fourth proportional to 2,804.62, 4,207.53 and 856.76 is: 1,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.62 : 4,207.53 = 856.76 : x
  2. Step 2: Convert to fraction form
    2,804.62/4,207.53 = 856.76/x
  3. Step 3: Cross multiply
    2,804.62x = 4,207.53 × 856.76
  4. Step 4: Simplify right side
    2,804.62x = 3,604,843.40
  5. Step 5: Solve for x
    x = 3,604,843.40/2,804.62
  6. Step 6: Final answer
    x = 1,285.32

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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.