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Finding the Fourth Proportional to 19,208.84, 28,822.96 and 8,827.88

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Solution

The fourth proportional to 19,208.84, 28,822.96 and 8,827.88 is: 13,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208.84 : 28,822.96 = 8,827.88 : x
  2. Step 2: Convert to fraction form
    19,208.84/28,822.96 = 8,827.88/x
  3. Step 3: Cross multiply
    19,208.84x = 28,822.96 × 8,827.88
  4. Step 4: Simplify right side
    19,208.84x = 254,445,632.12
  5. Step 5: Solve for x
    x = 254,445,632.12/19,208.84
  6. Step 6: Final answer
    x = 13,246.28

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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.