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Finding the Fourth Proportional to 11,315.76, 16,982.76 and 7,803.60

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Solution

The fourth proportional to 11,315.76, 16,982.76 and 7,803.60 is: 11,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.76 : 16,982.76 = 7,803.60 : x
  2. Step 2: Convert to fraction form
    11,315.76/16,982.76 = 7,803.60/x
  3. Step 3: Cross multiply
    11,315.76x = 16,982.76 × 7,803.60
  4. Step 4: Simplify right side
    11,315.76x = 132,526,665.94
  5. Step 5: Solve for x
    x = 132,526,665.94/11,315.76
  6. Step 6: Final answer
    x = 11,711.69

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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.