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Finding the Fourth Proportional to 8,211.51, 11,331.63 and 4,485.51

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Solution

The fourth proportional to 8,211.51, 11,331.63 and 4,485.51 is: 6,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.51 : 11,331.63 = 4,485.51 : x
  2. Step 2: Convert to fraction form
    8,211.51/11,331.63 = 4,485.51/x
  3. Step 3: Cross multiply
    8,211.51x = 11,331.63 × 4,485.51
  4. Step 4: Simplify right side
    8,211.51x = 50,828,139.68
  5. Step 5: Solve for x
    x = 50,828,139.68/8,211.51
  6. Step 6: Final answer
    x = 6,189.87

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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.