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Finding the Fourth Proportional to 7,671.77, 11,500.36 and 2,994.78

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Solution

The fourth proportional to 7,671.77, 11,500.36 and 2,994.78 is: 4,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.77 : 11,500.36 = 2,994.78 : x
  2. Step 2: Convert to fraction form
    7,671.77/11,500.36 = 2,994.78/x
  3. Step 3: Cross multiply
    7,671.77x = 11,500.36 × 2,994.78
  4. Step 4: Simplify right side
    7,671.77x = 34,441,048.12
  5. Step 5: Solve for x
    x = 34,441,048.12/7,671.77
  6. Step 6: Final answer
    x = 4,489.32

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1.5x scale

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.