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Finding the Fourth Proportional to 34,780.84, 47,986.48 and 19,671.64

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Solution

The fourth proportional to 34,780.84, 47,986.48 and 19,671.64 is: 27,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.84 : 47,986.48 = 19,671.64 : x
  2. Step 2: Convert to fraction form
    34,780.84/47,986.48 = 19,671.64/x
  3. Step 3: Cross multiply
    34,780.84x = 47,986.48 × 19,671.64
  4. Step 4: Simplify right side
    34,780.84x = 943,972,759.43
  5. Step 5: Solve for x
    x = 943,972,759.43/34,780.84
  6. Step 6: Final answer
    x = 27,140.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.