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Finding the Fourth Proportional to 5,173, 7,138.74 and 2,815.16

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Solution

The fourth proportional to 5,173, 7,138.74 and 2,815.16 is: 3,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173 : 7,138.74 = 2,815.16 : x
  2. Step 2: Convert to fraction form
    5,173/7,138.74 = 2,815.16/x
  3. Step 3: Cross multiply
    5,173x = 7,138.74 × 2,815.16
  4. Step 4: Simplify right side
    5,173x = 20,096,677.45
  5. Step 5: Solve for x
    x = 20,096,677.45/5,173
  6. Step 6: Final answer
    x = 3,884.92

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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.