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Finding the Fourth Proportional to 34,765.75, 47,974.84 and 19,657.50

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Solution

The fourth proportional to 34,765.75, 47,974.84 and 19,657.50 is: 27,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.75 : 47,974.84 = 19,657.50 : x
  2. Step 2: Convert to fraction form
    34,765.75/47,974.84 = 19,657.50/x
  3. Step 3: Cross multiply
    34,765.75x = 47,974.84 × 19,657.50
  4. Step 4: Simplify right side
    34,765.75x = 943,065,417.30
  5. Step 5: Solve for x
    x = 943,065,417.30/34,765.75
  6. Step 6: Final answer
    x = 27,126.28

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1.5x scale

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.