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Finding the Fourth Proportional to 19,205.80, 27,770.65 and 19,205.80

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Solution

The fourth proportional to 19,205.80, 27,770.65 and 19,205.80 is: 27,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.80 : 27,770.65 = 19,205.80 : x
  2. Step 2: Convert to fraction form
    19,205.80/27,770.65 = 19,205.80/x
  3. Step 3: Cross multiply
    19,205.80x = 27,770.65 × 19,205.80
  4. Step 4: Simplify right side
    19,205.80x = 533,357,549.77
  5. Step 5: Solve for x
    x = 533,357,549.77/19,205.80
  6. Step 6: Final answer
    x = 27,770.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.