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Finding the Fourth Proportional to 9,987.68, 13,783.20 and 5,796.20

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Solution

The fourth proportional to 9,987.68, 13,783.20 and 5,796.20 is: 7,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.68 : 13,783.20 = 5,796.20 : x
  2. Step 2: Convert to fraction form
    9,987.68/13,783.20 = 5,796.20/x
  3. Step 3: Cross multiply
    9,987.68x = 13,783.20 × 5,796.20
  4. Step 4: Simplify right side
    9,987.68x = 79,890,183.84
  5. Step 5: Solve for x
    x = 79,890,183.84/9,987.68
  6. Step 6: Final answer
    x = 7,998.87

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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.