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Finding the Fourth Proportional to 11,363.64, 15,681.94 and 6,647

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Solution

The fourth proportional to 11,363.64, 15,681.94 and 6,647 is: 9,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.64 : 15,681.94 = 6,647 : x
  2. Step 2: Convert to fraction form
    11,363.64/15,681.94 = 6,647/x
  3. Step 3: Cross multiply
    11,363.64x = 15,681.94 × 6,647
  4. Step 4: Simplify right side
    11,363.64x = 104,237,855.18
  5. Step 5: Solve for x
    x = 104,237,855.18/11,363.64
  6. Step 6: Final answer
    x = 9,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.