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Finding the Fourth Proportional to 9,985.82, 13,767.64 and 8,186.78

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Solution

The fourth proportional to 9,985.82, 13,767.64 and 8,186.78 is: 11,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.82 : 13,767.64 = 8,186.78 : x
  2. Step 2: Convert to fraction form
    9,985.82/13,767.64 = 8,186.78/x
  3. Step 3: Cross multiply
    9,985.82x = 13,767.64 × 8,186.78
  4. Step 4: Simplify right side
    9,985.82x = 112,712,598.87
  5. Step 5: Solve for x
    x = 112,712,598.87/9,985.82
  6. Step 6: Final answer
    x = 11,287.27

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1.5x scale

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.