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Finding the Fourth Proportional to 34,642, 47,797.59 and 20,486.98

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Solution

The fourth proportional to 34,642, 47,797.59 and 20,486.98 is: 28,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642 : 47,797.59 = 20,486.98 : x
  2. Step 2: Convert to fraction form
    34,642/47,797.59 = 20,486.98/x
  3. Step 3: Cross multiply
    34,642x = 47,797.59 × 20,486.98
  4. Step 4: Simplify right side
    34,642x = 979,228,270.38
  5. Step 5: Solve for x
    x = 979,228,270.38/34,642
  6. Step 6: Final answer
    x = 28,267.08

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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.