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Finding the Fourth Proportional to 6,485.92, 9,719.76 and 3,708.44

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Solution

The fourth proportional to 6,485.92, 9,719.76 and 3,708.44 is: 5,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.92 : 9,719.76 = 3,708.44 : x
  2. Step 2: Convert to fraction form
    6,485.92/9,719.76 = 3,708.44/x
  3. Step 3: Cross multiply
    6,485.92x = 9,719.76 × 3,708.44
  4. Step 4: Simplify right side
    6,485.92x = 36,045,146.77
  5. Step 5: Solve for x
    x = 36,045,146.77/6,485.92
  6. Step 6: Final answer
    x = 5,557.45

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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.