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Finding the Fourth Proportional to 19,139.76, 28,726.96 and 8,054.64

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Solution

The fourth proportional to 19,139.76, 28,726.96 and 8,054.64 is: 12,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139.76 : 28,726.96 = 8,054.64 : x
  2. Step 2: Convert to fraction form
    19,139.76/28,726.96 = 8,054.64/x
  3. Step 3: Cross multiply
    19,139.76x = 28,726.96 × 8,054.64
  4. Step 4: Simplify right side
    19,139.76x = 231,385,321.09
  5. Step 5: Solve for x
    x = 231,385,321.09/19,139.76
  6. Step 6: Final answer
    x = 12,089.25

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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.