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Finding the Fourth Proportional to 8,422.23, 11,615.85 and 7,411.77

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Solution

The fourth proportional to 8,422.23, 11,615.85 and 7,411.77 is: 10,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.23 : 11,615.85 = 7,411.77 : x
  2. Step 2: Convert to fraction form
    8,422.23/11,615.85 = 7,411.77/x
  3. Step 3: Cross multiply
    8,422.23x = 11,615.85 × 7,411.77
  4. Step 4: Simplify right side
    8,422.23x = 86,094,008.55
  5. Step 5: Solve for x
    x = 86,094,008.55/8,422.23
  6. Step 6: Final answer
    x = 10,222.23

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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.