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Finding the Fourth Proportional to 6,456.63, 9,685 and 2,756.96

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Solution

The fourth proportional to 6,456.63, 9,685 and 2,756.96 is: 4,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.63 : 9,685 = 2,756.96 : x
  2. Step 2: Convert to fraction form
    6,456.63/9,685 = 2,756.96/x
  3. Step 3: Cross multiply
    6,456.63x = 9,685 × 2,756.96
  4. Step 4: Simplify right side
    6,456.63x = 26,701,109.18
  5. Step 5: Solve for x
    x = 26,701,109.18/6,456.63
  6. Step 6: Final answer
    x = 4,135.46

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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.