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Finding the Fourth Proportional to 5,174, 7,140.12 and 2,816.16

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Solution

The fourth proportional to 5,174, 7,140.12 and 2,816.16 is: 3,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174 : 7,140.12 = 2,816.16 : x
  2. Step 2: Convert to fraction form
    5,174/7,140.12 = 2,816.16/x
  3. Step 3: Cross multiply
    5,174x = 7,140.12 × 2,816.16
  4. Step 4: Simplify right side
    5,174x = 20,107,720.34
  5. Step 5: Solve for x
    x = 20,107,720.34/5,174
  6. Step 6: Final answer
    x = 3,886.30

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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.