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Finding the Fourth Proportional to 6,474.70, 9,719.35 and 4,287.70

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Solution

The fourth proportional to 6,474.70, 9,719.35 and 4,287.70 is: 6,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.70 : 9,719.35 = 4,287.70 : x
  2. Step 2: Convert to fraction form
    6,474.70/9,719.35 = 4,287.70/x
  3. Step 3: Cross multiply
    6,474.70x = 9,719.35 × 4,287.70
  4. Step 4: Simplify right side
    6,474.70x = 41,673,657.00
  5. Step 5: Solve for x
    x = 41,673,657.00/6,474.70
  6. Step 6: Final answer
    x = 6,436.38

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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.