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Finding the Fourth Proportional to 19,188.28, 28,729.27 and 9,808.10

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Solution

The fourth proportional to 19,188.28, 28,729.27 and 9,808.10 is: 14,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188.28 : 28,729.27 = 9,808.10 : x
  2. Step 2: Convert to fraction form
    19,188.28/28,729.27 = 9,808.10/x
  3. Step 3: Cross multiply
    19,188.28x = 28,729.27 × 9,808.10
  4. Step 4: Simplify right side
    19,188.28x = 281,779,553.09
  5. Step 5: Solve for x
    x = 281,779,553.09/19,188.28
  6. Step 6: Final answer
    x = 14,684.98

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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.