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Finding the Fourth Proportional to 6,805.70, 10,207.16 and 2,124.95

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Solution

The fourth proportional to 6,805.70, 10,207.16 and 2,124.95 is: 3,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.70 : 10,207.16 = 2,124.95 : x
  2. Step 2: Convert to fraction form
    6,805.70/10,207.16 = 2,124.95/x
  3. Step 3: Cross multiply
    6,805.70x = 10,207.16 × 2,124.95
  4. Step 4: Simplify right side
    6,805.70x = 21,689,642.98
  5. Step 5: Solve for x
    x = 21,689,642.98/6,805.70
  6. Step 6: Final answer
    x = 3,186.98

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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.