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Finding the Fourth Proportional to 5,186.84, 7,157.84 and 2,829.02

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Solution

The fourth proportional to 5,186.84, 7,157.84 and 2,829.02 is: 3,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.84 : 7,157.84 = 2,829.02 : x
  2. Step 2: Convert to fraction form
    5,186.84/7,157.84 = 2,829.02/x
  3. Step 3: Cross multiply
    5,186.84x = 7,157.84 × 2,829.02
  4. Step 4: Simplify right side
    5,186.84x = 20,249,661.69
  5. Step 5: Solve for x
    x = 20,249,661.69/5,186.84
  6. Step 6: Final answer
    x = 3,904.05

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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.