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Finding the Fourth Proportional to 8,403, 12,606.59 and 3,474.06

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Solution

The fourth proportional to 8,403, 12,606.59 and 3,474.06 is: 5,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403 : 12,606.59 = 3,474.06 : x
  2. Step 2: Convert to fraction form
    8,403/12,606.59 = 3,474.06/x
  3. Step 3: Cross multiply
    8,403x = 12,606.59 × 3,474.06
  4. Step 4: Simplify right side
    8,403x = 43,796,032.69
  5. Step 5: Solve for x
    x = 43,796,032.69/8,403
  6. Step 6: Final answer
    x = 5,211.95

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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.