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Finding the Fourth Proportional to 11,903.84, 17,865.84 and 6,644.08

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Solution

The fourth proportional to 11,903.84, 17,865.84 and 6,644.08 is: 9,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.84 : 17,865.84 = 6,644.08 : x
  2. Step 2: Convert to fraction form
    11,903.84/17,865.84 = 6,644.08/x
  3. Step 3: Cross multiply
    11,903.84x = 17,865.84 × 6,644.08
  4. Step 4: Simplify right side
    11,903.84x = 118,702,070.23
  5. Step 5: Solve for x
    x = 118,702,070.23/11,903.84
  6. Step 6: Final answer
    x = 9,971.75

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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.