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Finding the Fourth Proportional to 28,522, 42,800.28 and 12,106

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Solution

The fourth proportional to 28,522, 42,800.28 and 12,106 is: 18,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,522 : 42,800.28 = 12,106 : x
  2. Step 2: Convert to fraction form
    28,522/42,800.28 = 12,106/x
  3. Step 3: Cross multiply
    28,522x = 42,800.28 × 12,106
  4. Step 4: Simplify right side
    28,522x = 518,140,189.68
  5. Step 5: Solve for x
    x = 518,140,189.68/28,522
  6. Step 6: Final answer
    x = 18,166.33

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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.