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Finding the Fourth Proportional to 7,800.22, 11,703.58 and 3,420.82

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Solution

The fourth proportional to 7,800.22, 11,703.58 and 3,420.82 is: 5,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.22 : 11,703.58 = 3,420.82 : x
  2. Step 2: Convert to fraction form
    7,800.22/11,703.58 = 3,420.82/x
  3. Step 3: Cross multiply
    7,800.22x = 11,703.58 × 3,420.82
  4. Step 4: Simplify right side
    7,800.22x = 40,035,840.54
  5. Step 5: Solve for x
    x = 40,035,840.54/7,800.22
  6. Step 6: Final answer
    x = 5,132.66

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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.