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Finding the Fourth Proportional to 7,696.99, 10,621.84 and 4,160.20

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Solution

The fourth proportional to 7,696.99, 10,621.84 and 4,160.20 is: 5,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.99 : 10,621.84 = 4,160.20 : x
  2. Step 2: Convert to fraction form
    7,696.99/10,621.84 = 4,160.20/x
  3. Step 3: Cross multiply
    7,696.99x = 10,621.84 × 4,160.20
  4. Step 4: Simplify right side
    7,696.99x = 44,188,978.77
  5. Step 5: Solve for x
    x = 44,188,978.77/7,696.99
  6. Step 6: Final answer
    x = 5,741.07

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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.