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Finding the Fourth Proportional to 5,187.71, 7,158.93 and 2,829.80

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Solution

The fourth proportional to 5,187.71, 7,158.93 and 2,829.80 is: 3,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.71 : 7,158.93 = 2,829.80 : x
  2. Step 2: Convert to fraction form
    5,187.71/7,158.93 = 2,829.80/x
  3. Step 3: Cross multiply
    5,187.71x = 7,158.93 × 2,829.80
  4. Step 4: Simplify right side
    5,187.71x = 20,258,340.11
  5. Step 5: Solve for x
    x = 20,258,340.11/5,187.71
  6. Step 6: Final answer
    x = 3,905.06

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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.