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Finding the Fourth Proportional to 6,476.70, 9,719.05 and 2,580.70

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Solution

The fourth proportional to 6,476.70, 9,719.05 and 2,580.70 is: 3,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.70 : 9,719.05 = 2,580.70 : x
  2. Step 2: Convert to fraction form
    6,476.70/9,719.05 = 2,580.70/x
  3. Step 3: Cross multiply
    6,476.70x = 9,719.05 × 2,580.70
  4. Step 4: Simplify right side
    6,476.70x = 25,081,952.34
  5. Step 5: Solve for x
    x = 25,081,952.34/6,476.70
  6. Step 6: Final answer
    x = 3,872.64

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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.