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Finding the Fourth Proportional to 7,074.60, 10,612.14 and 1,809.60

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Solution

The fourth proportional to 7,074.60, 10,612.14 and 1,809.60 is: 2,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.60 : 10,612.14 = 1,809.60 : x
  2. Step 2: Convert to fraction form
    7,074.60/10,612.14 = 1,809.60/x
  3. Step 3: Cross multiply
    7,074.60x = 10,612.14 × 1,809.60
  4. Step 4: Simplify right side
    7,074.60x = 19,203,728.54
  5. Step 5: Solve for x
    x = 19,203,728.54/7,074.60
  6. Step 6: Final answer
    x = 2,714.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.