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Finding the Fourth Proportional to 9,986.13, 13,780.71 and 5,794.38

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Solution

The fourth proportional to 9,986.13, 13,780.71 and 5,794.38 is: 7,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.13 : 13,780.71 = 5,794.38 : x
  2. Step 2: Convert to fraction form
    9,986.13/13,780.71 = 5,794.38/x
  3. Step 3: Cross multiply
    9,986.13x = 13,780.71 × 5,794.38
  4. Step 4: Simplify right side
    9,986.13x = 79,850,670.41
  5. Step 5: Solve for x
    x = 79,850,670.41/9,986.13
  6. Step 6: Final answer
    x = 7,996.16

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Similar ratio
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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.