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Finding the Fourth Proportional to 19,071.30, 28,606.74 and 7,824.12

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Solution

The fourth proportional to 19,071.30, 28,606.74 and 7,824.12 is: 11,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071.30 : 28,606.74 = 7,824.12 : x
  2. Step 2: Convert to fraction form
    19,071.30/28,606.74 = 7,824.12/x
  3. Step 3: Cross multiply
    19,071.30x = 28,606.74 × 7,824.12
  4. Step 4: Simplify right side
    19,071.30x = 223,822,566.57
  5. Step 5: Solve for x
    x = 223,822,566.57/19,071.30
  6. Step 6: Final answer
    x = 11,736.09

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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.