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Finding the Fourth Proportional to 5,164.80, 7,127.32 and 2,807

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Solution

The fourth proportional to 5,164.80, 7,127.32 and 2,807 is: 3,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.80 : 7,127.32 = 2,807 : x
  2. Step 2: Convert to fraction form
    5,164.80/7,127.32 = 2,807/x
  3. Step 3: Cross multiply
    5,164.80x = 7,127.32 × 2,807
  4. Step 4: Simplify right side
    5,164.80x = 20,006,387.24
  5. Step 5: Solve for x
    x = 20,006,387.24/5,164.80
  6. Step 6: Final answer
    x = 3,873.60

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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.