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Finding the Fourth Proportional to 7,808.29, 11,702.36 and 6,803.56

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Solution

The fourth proportional to 7,808.29, 11,702.36 and 6,803.56 is: 10,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.29 : 11,702.36 = 6,803.56 : x
  2. Step 2: Convert to fraction form
    7,808.29/11,702.36 = 6,803.56/x
  3. Step 3: Cross multiply
    7,808.29x = 11,702.36 × 6,803.56
  4. Step 4: Simplify right side
    7,808.29x = 79,617,708.40
  5. Step 5: Solve for x
    x = 79,617,708.40/7,808.29
  6. Step 6: Final answer
    x = 10,196.57

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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.