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Finding the Fourth Proportional to 2,318.13, 3,475.04 and 856.89

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Solution

The fourth proportional to 2,318.13, 3,475.04 and 856.89 is: 1,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.13 : 3,475.04 = 856.89 : x
  2. Step 2: Convert to fraction form
    2,318.13/3,475.04 = 856.89/x
  3. Step 3: Cross multiply
    2,318.13x = 3,475.04 × 856.89
  4. Step 4: Simplify right side
    2,318.13x = 2,977,722.74
  5. Step 5: Solve for x
    x = 2,977,722.74/2,318.13
  6. Step 6: Final answer
    x = 1,284.54

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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.