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Finding the Fourth Proportional to 8,254, 11,390.68 and 4,942

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Solution

The fourth proportional to 8,254, 11,390.68 and 4,942 is: 6,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254 : 11,390.68 = 4,942 : x
  2. Step 2: Convert to fraction form
    8,254/11,390.68 = 4,942/x
  3. Step 3: Cross multiply
    8,254x = 11,390.68 × 4,942
  4. Step 4: Simplify right side
    8,254x = 56,292,740.56
  5. Step 5: Solve for x
    x = 56,292,740.56/8,254
  6. Step 6: Final answer
    x = 6,820.06

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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.