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Finding the Fourth Proportional to 6,900.09, 10,340.82 and 4,947.99

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Solution

The fourth proportional to 6,900.09, 10,340.82 and 4,947.99 is: 7,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.09 : 10,340.82 = 4,947.99 : x
  2. Step 2: Convert to fraction form
    6,900.09/10,340.82 = 4,947.99/x
  3. Step 3: Cross multiply
    6,900.09x = 10,340.82 × 4,947.99
  4. Step 4: Simplify right side
    6,900.09x = 51,166,273.95
  5. Step 5: Solve for x
    x = 51,166,273.95/6,900.09
  6. Step 6: Final answer
    x = 7,415.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.