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Finding the Fourth Proportional to 8,474.61, 12,699.59 and 4,086.93

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Solution

The fourth proportional to 8,474.61, 12,699.59 and 4,086.93 is: 6,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.61 : 12,699.59 = 4,086.93 : x
  2. Step 2: Convert to fraction form
    8,474.61/12,699.59 = 4,086.93/x
  3. Step 3: Cross multiply
    8,474.61x = 12,699.59 × 4,086.93
  4. Step 4: Simplify right side
    8,474.61x = 51,902,314.92
  5. Step 5: Solve for x
    x = 51,902,314.92/8,474.61
  6. Step 6: Final answer
    x = 6,124.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.