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Finding the Fourth Proportional to 34,641, 47,796.21 and 20,485.98

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Solution

The fourth proportional to 34,641, 47,796.21 and 20,485.98 is: 28,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641 : 47,796.21 = 20,485.98 : x
  2. Step 2: Convert to fraction form
    34,641/47,796.21 = 20,485.98/x
  3. Step 3: Cross multiply
    34,641x = 47,796.21 × 20,485.98
  4. Step 4: Simplify right side
    34,641x = 979,152,202.14
  5. Step 5: Solve for x
    x = 979,152,202.14/34,641
  6. Step 6: Final answer
    x = 28,265.70

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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.