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Finding the Fourth Proportional to 4,651.88, 6,977.84 and 1,189.13

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Solution

The fourth proportional to 4,651.88, 6,977.84 and 1,189.13 is: 1,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.88 : 6,977.84 = 1,189.13 : x
  2. Step 2: Convert to fraction form
    4,651.88/6,977.84 = 1,189.13/x
  3. Step 3: Cross multiply
    4,651.88x = 6,977.84 × 1,189.13
  4. Step 4: Simplify right side
    4,651.88x = 8,297,518.04
  5. Step 5: Solve for x
    x = 8,297,518.04/4,651.88
  6. Step 6: Final answer
    x = 1,783.69

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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.