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Finding the Fourth Proportional to 5,623.76, 7,760.12 and 3,385.60

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Solution

The fourth proportional to 5,623.76, 7,760.12 and 3,385.60 is: 4,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.76 : 7,760.12 = 3,385.60 : x
  2. Step 2: Convert to fraction form
    5,623.76/7,760.12 = 3,385.60/x
  3. Step 3: Cross multiply
    5,623.76x = 7,760.12 × 3,385.60
  4. Step 4: Simplify right side
    5,623.76x = 26,272,662.27
  5. Step 5: Solve for x
    x = 26,272,662.27/5,623.76
  6. Step 6: Final answer
    x = 4,671.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.