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Finding the Fourth Proportional to 7,803.88, 11,701.62 and 3,416.23

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Solution

The fourth proportional to 7,803.88, 11,701.62 and 3,416.23 is: 5,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.88 : 11,701.62 = 3,416.23 : x
  2. Step 2: Convert to fraction form
    7,803.88/11,701.62 = 3,416.23/x
  3. Step 3: Cross multiply
    7,803.88x = 11,701.62 × 3,416.23
  4. Step 4: Simplify right side
    7,803.88x = 39,975,425.29
  5. Step 5: Solve for x
    x = 39,975,425.29/7,803.88
  6. Step 6: Final answer
    x = 5,122.51

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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.