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Finding the Fourth Proportional to 6,513.93, 9,768.96 and 2,815.29

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Solution

The fourth proportional to 6,513.93, 9,768.96 and 2,815.29 is: 4,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.93 : 9,768.96 = 2,815.29 : x
  2. Step 2: Convert to fraction form
    6,513.93/9,768.96 = 2,815.29/x
  3. Step 3: Cross multiply
    6,513.93x = 9,768.96 × 2,815.29
  4. Step 4: Simplify right side
    6,513.93x = 27,502,455.40
  5. Step 5: Solve for x
    x = 27,502,455.40/6,513.93
  6. Step 6: Final answer
    x = 4,222.10

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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.