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Finding the Fourth Proportional to 8,722.94, 13,142.57 and 7,890.96

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Solution

The fourth proportional to 8,722.94, 13,142.57 and 7,890.96 is: 11,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.94 : 13,142.57 = 7,890.96 : x
  2. Step 2: Convert to fraction form
    8,722.94/13,142.57 = 7,890.96/x
  3. Step 3: Cross multiply
    8,722.94x = 13,142.57 × 7,890.96
  4. Step 4: Simplify right side
    8,722.94x = 103,707,494.17
  5. Step 5: Solve for x
    x = 103,707,494.17/8,722.94
  6. Step 6: Final answer
    x = 11,889.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.