Home / 11,817.84-16,309-6,782.98

Finding the Fourth Proportional to 11,817.84, 16,309 and 6,782.98

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Solution

The fourth proportional to 11,817.84, 16,309 and 6,782.98 is: 9,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.84 : 16,309 = 6,782.98 : x
  2. Step 2: Convert to fraction form
    11,817.84/16,309 = 6,782.98/x
  3. Step 3: Cross multiply
    11,817.84x = 16,309 × 6,782.98
  4. Step 4: Simplify right side
    11,817.84x = 110,623,620.82
  5. Step 5: Solve for x
    x = 110,623,620.82/11,817.84
  6. Step 6: Final answer
    x = 9,360.73

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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.