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Finding the Fourth Proportional to 5,114.20, 7,169.60 and 5,114.20

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Solution

The fourth proportional to 5,114.20, 7,169.60 and 5,114.20 is: 7,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.20 : 7,169.60 = 5,114.20 : x
  2. Step 2: Convert to fraction form
    5,114.20/7,169.60 = 5,114.20/x
  3. Step 3: Cross multiply
    5,114.20x = 7,169.60 × 5,114.20
  4. Step 4: Simplify right side
    5,114.20x = 36,666,768.32
  5. Step 5: Solve for x
    x = 36,666,768.32/5,114.20
  6. Step 6: Final answer
    x = 7,169.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.