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Finding the Fourth Proportional to 19,206.80, 28,799.80 and 8,664.50

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Solution

The fourth proportional to 19,206.80, 28,799.80 and 8,664.50 is: 12,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.80 : 28,799.80 = 8,664.50 : x
  2. Step 2: Convert to fraction form
    19,206.80/28,799.80 = 8,664.50/x
  3. Step 3: Cross multiply
    19,206.80x = 28,799.80 × 8,664.50
  4. Step 4: Simplify right side
    19,206.80x = 249,535,867.10
  5. Step 5: Solve for x
    x = 249,535,867.10/19,206.80
  6. Step 6: Final answer
    x = 12,992.06

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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.