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Finding the Fourth Proportional to 6,945, 10,373.16 and 6,285.84

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Solution

The fourth proportional to 6,945, 10,373.16 and 6,285.84 is: 9,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945 : 10,373.16 = 6,285.84 : x
  2. Step 2: Convert to fraction form
    6,945/10,373.16 = 6,285.84/x
  3. Step 3: Cross multiply
    6,945x = 10,373.16 × 6,285.84
  4. Step 4: Simplify right side
    6,945x = 65,204,024.05
  5. Step 5: Solve for x
    x = 65,204,024.05/6,945
  6. Step 6: Final answer
    x = 9,388.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.