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Finding the Fourth Proportional to 2,415.48, 3,622.98 and 771.73

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Solution

The fourth proportional to 2,415.48, 3,622.98 and 771.73 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.48 : 3,622.98 = 771.73 : x
  2. Step 2: Convert to fraction form
    2,415.48/3,622.98 = 771.73/x
  3. Step 3: Cross multiply
    2,415.48x = 3,622.98 × 771.73
  4. Step 4: Simplify right side
    2,415.48x = 2,795,962.36
  5. Step 5: Solve for x
    x = 2,795,962.36/2,415.48
  6. Step 6: Final answer
    x = 1,157.52

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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.