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Finding the Fourth Proportional to 8,563.93, 11,821.85 and 5,207.81

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Solution

The fourth proportional to 8,563.93, 11,821.85 and 5,207.81 is: 7,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.93 : 11,821.85 = 5,207.81 : x
  2. Step 2: Convert to fraction form
    8,563.93/11,821.85 = 5,207.81/x
  3. Step 3: Cross multiply
    8,563.93x = 11,821.85 × 5,207.81
  4. Step 4: Simplify right side
    8,563.93x = 61,565,889.54
  5. Step 5: Solve for x
    x = 61,565,889.54/8,563.93
  6. Step 6: Final answer
    x = 7,188.98

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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.