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Finding the Fourth Proportional to 6,478.92, 9,719.40 and 2,036.23

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Solution

The fourth proportional to 6,478.92, 9,719.40 and 2,036.23 is: 3,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.92 : 9,719.40 = 2,036.23 : x
  2. Step 2: Convert to fraction form
    6,478.92/9,719.40 = 2,036.23/x
  3. Step 3: Cross multiply
    6,478.92x = 9,719.40 × 2,036.23
  4. Step 4: Simplify right side
    6,478.92x = 19,790,933.86
  5. Step 5: Solve for x
    x = 19,790,933.86/6,478.92
  6. Step 6: Final answer
    x = 3,054.67

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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.