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Finding the Fourth Proportional to 47,698.75, 65,830.35 and 28,835.88

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Solution

The fourth proportional to 47,698.75, 65,830.35 and 28,835.88 is: 39,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.75 : 65,830.35 = 28,835.88 : x
  2. Step 2: Convert to fraction form
    47,698.75/65,830.35 = 28,835.88/x
  3. Step 3: Cross multiply
    47,698.75x = 65,830.35 × 28,835.88
  4. Step 4: Simplify right side
    47,698.75x = 1,898,276,072.96
  5. Step 5: Solve for x
    x = 1,898,276,072.96/47,698.75
  6. Step 6: Final answer
    x = 39,797.19

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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.