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Finding the Fourth Proportional to 5,657.04, 7,800.84 and 3,790.80

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Solution

The fourth proportional to 5,657.04, 7,800.84 and 3,790.80 is: 5,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.04 : 7,800.84 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    5,657.04/7,800.84 = 3,790.80/x
  3. Step 3: Cross multiply
    5,657.04x = 7,800.84 × 3,790.80
  4. Step 4: Simplify right side
    5,657.04x = 29,571,424.27
  5. Step 5: Solve for x
    x = 29,571,424.27/5,657.04
  6. Step 6: Final answer
    x = 5,227.37

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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.