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Finding the Fourth Proportional to 3,079.88, 4,619.80 and 771.40

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Solution

The fourth proportional to 3,079.88, 4,619.80 and 771.40 is: 1,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.88 : 4,619.80 = 771.40 : x
  2. Step 2: Convert to fraction form
    3,079.88/4,619.80 = 771.40/x
  3. Step 3: Cross multiply
    3,079.88x = 4,619.80 × 771.40
  4. Step 4: Simplify right side
    3,079.88x = 3,563,713.72
  5. Step 5: Solve for x
    x = 3,563,713.72/3,079.88
  6. Step 6: Final answer
    x = 1,157.09

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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.