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Finding the Fourth Proportional to 11,810.76, 17,681.82 and 6,865.32

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Solution

The fourth proportional to 11,810.76, 17,681.82 and 6,865.32 is: 10,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.76 : 17,681.82 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    11,810.76/17,681.82 = 6,865.32/x
  3. Step 3: Cross multiply
    11,810.76x = 17,681.82 × 6,865.32
  4. Step 4: Simplify right side
    11,810.76x = 121,391,352.48
  5. Step 5: Solve for x
    x = 121,391,352.48/11,810.76
  6. Step 6: Final answer
    x = 10,278.03

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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.