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Finding the Fourth Proportional to 6,511.66, 9,770.32 and 2,813.00

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Solution

The fourth proportional to 6,511.66, 9,770.32 and 2,813.00 is: 4,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.66 : 9,770.32 = 2,813.00 : x
  2. Step 2: Convert to fraction form
    6,511.66/9,770.32 = 2,813.00/x
  3. Step 3: Cross multiply
    6,511.66x = 9,770.32 × 2,813.00
  4. Step 4: Simplify right side
    6,511.66x = 27,483,864.82
  5. Step 5: Solve for x
    x = 27,483,864.82/6,511.66
  6. Step 6: Final answer
    x = 4,220.72

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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.