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Finding the Fourth Proportional to 6,811.80, 10,203.30 and 5,659.80

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Solution

The fourth proportional to 6,811.80, 10,203.30 and 5,659.80 is: 8,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.80 : 10,203.30 = 5,659.80 : x
  2. Step 2: Convert to fraction form
    6,811.80/10,203.30 = 5,659.80/x
  3. Step 3: Cross multiply
    6,811.80x = 10,203.30 × 5,659.80
  4. Step 4: Simplify right side
    6,811.80x = 57,748,637.34
  5. Step 5: Solve for x
    x = 57,748,637.34/6,811.80
  6. Step 6: Final answer
    x = 8,477.74

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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.