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Finding the Fourth Proportional to 12,071.64, 18,109.59 and 4,174.95

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Solution

The fourth proportional to 12,071.64, 18,109.59 and 4,174.95 is: 6,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.64 : 18,109.59 = 4,174.95 : x
  2. Step 2: Convert to fraction form
    12,071.64/18,109.59 = 4,174.95/x
  3. Step 3: Cross multiply
    12,071.64x = 18,109.59 × 4,174.95
  4. Step 4: Simplify right side
    12,071.64x = 75,606,632.77
  5. Step 5: Solve for x
    x = 75,606,632.77/12,071.64
  6. Step 6: Final answer
    x = 6,263.16

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