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Finding the Fourth Proportional to 10,019.99, 13,825.10 and 6,478.94

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Solution

The fourth proportional to 10,019.99, 13,825.10 and 6,478.94 is: 8,939.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.99 : 13,825.10 = 6,478.94 : x
  2. Step 2: Convert to fraction form
    10,019.99/13,825.10 = 6,478.94/x
  3. Step 3: Cross multiply
    10,019.99x = 13,825.10 × 6,478.94
  4. Step 4: Simplify right side
    10,019.99x = 89,571,942.63
  5. Step 5: Solve for x
    x = 89,571,942.63/10,019.99
  6. Step 6: Final answer
    x = 8,939.33

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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.