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Finding the Fourth Proportional to 19,287.40, 28,925.43 and 8,194

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Solution

The fourth proportional to 19,287.40, 28,925.43 and 8,194 is: 12,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287.40 : 28,925.43 = 8,194 : x
  2. Step 2: Convert to fraction form
    19,287.40/28,925.43 = 8,194/x
  3. Step 3: Cross multiply
    19,287.40x = 28,925.43 × 8,194
  4. Step 4: Simplify right side
    19,287.40x = 237,014,973.42
  5. Step 5: Solve for x
    x = 237,014,973.42/19,287.40
  6. Step 6: Final answer
    x = 12,288.59

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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.