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Finding the Fourth Proportional to 10,135.75, 13,987.06 and 5,659.38

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Solution

The fourth proportional to 10,135.75, 13,987.06 and 5,659.38 is: 7,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.75 : 13,987.06 = 5,659.38 : x
  2. Step 2: Convert to fraction form
    10,135.75/13,987.06 = 5,659.38/x
  3. Step 3: Cross multiply
    10,135.75x = 13,987.06 × 5,659.38
  4. Step 4: Simplify right side
    10,135.75x = 79,158,087.62
  5. Step 5: Solve for x
    x = 79,158,087.62/10,135.75
  6. Step 6: Final answer
    x = 7,809.79

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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.