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Finding the Fourth Proportional to 6,939.01, 10,415.85 and 6,782.32

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Solution

The fourth proportional to 6,939.01, 10,415.85 and 6,782.32 is: 10,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.01 : 10,415.85 = 6,782.32 : x
  2. Step 2: Convert to fraction form
    6,939.01/10,415.85 = 6,782.32/x
  3. Step 3: Cross multiply
    6,939.01x = 10,415.85 × 6,782.32
  4. Step 4: Simplify right side
    6,939.01x = 70,643,627.77
  5. Step 5: Solve for x
    x = 70,643,627.77/6,939.01
  6. Step 6: Final answer
    x = 10,180.65

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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.