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Finding the Fourth Proportional to 10,039.82, 13,855.03 and 5,563.64

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Solution

The fourth proportional to 10,039.82, 13,855.03 and 5,563.64 is: 7,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.82 : 13,855.03 = 5,563.64 : x
  2. Step 2: Convert to fraction form
    10,039.82/13,855.03 = 5,563.64/x
  3. Step 3: Cross multiply
    10,039.82x = 13,855.03 × 5,563.64
  4. Step 4: Simplify right side
    10,039.82x = 77,084,419.84
  5. Step 5: Solve for x
    x = 77,084,419.84/10,039.82
  6. Step 6: Final answer
    x = 7,677.87

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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.