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Finding the Fourth Proportional to 2,317.61, 3,474.79 and 856.37

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Solution

The fourth proportional to 2,317.61, 3,474.79 and 856.37 is: 1,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.61 : 3,474.79 = 856.37 : x
  2. Step 2: Convert to fraction form
    2,317.61/3,474.79 = 856.37/x
  3. Step 3: Cross multiply
    2,317.61x = 3,474.79 × 856.37
  4. Step 4: Simplify right side
    2,317.61x = 2,975,705.91
  5. Step 5: Solve for x
    x = 2,975,705.91/2,317.61
  6. Step 6: Final answer
    x = 1,283.95

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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.