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Finding the Fourth Proportional to 6,939.29, 10,409.03 and 2,259.32

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Solution

The fourth proportional to 6,939.29, 10,409.03 and 2,259.32 is: 3,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.29 : 10,409.03 = 2,259.32 : x
  2. Step 2: Convert to fraction form
    6,939.29/10,409.03 = 2,259.32/x
  3. Step 3: Cross multiply
    6,939.29x = 10,409.03 × 2,259.32
  4. Step 4: Simplify right side
    6,939.29x = 23,517,329.66
  5. Step 5: Solve for x
    x = 23,517,329.66/6,939.29
  6. Step 6: Final answer
    x = 3,389.01

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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.