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Finding the Fourth Proportional to 34,500, 47,610 and 19,598.88

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Solution

The fourth proportional to 34,500, 47,610 and 19,598.88 is: 27,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 47,610 = 19,598.88 : x
  2. Step 2: Convert to fraction form
    34,500/47,610 = 19,598.88/x
  3. Step 3: Cross multiply
    34,500x = 47,610 × 19,598.88
  4. Step 4: Simplify right side
    34,500x = 933,102,676.80
  5. Step 5: Solve for x
    x = 933,102,676.80/34,500
  6. Step 6: Final answer
    x = 27,046.45

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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.