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Finding the Fourth Proportional to 6,478.99, 8,940.78 and 3,646.42

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Solution

The fourth proportional to 6,478.99, 8,940.78 and 3,646.42 is: 5,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.99 : 8,940.78 = 3,646.42 : x
  2. Step 2: Convert to fraction form
    6,478.99/8,940.78 = 3,646.42/x
  3. Step 3: Cross multiply
    6,478.99x = 8,940.78 × 3,646.42
  4. Step 4: Simplify right side
    6,478.99x = 32,601,839.01
  5. Step 5: Solve for x
    x = 32,601,839.01/6,478.99
  6. Step 6: Final answer
    x = 5,031.93

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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.