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Finding the Fourth Proportional to 6,805.78, 10,207.68 and 2,124.70

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Solution

The fourth proportional to 6,805.78, 10,207.68 and 2,124.70 is: 3,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.78 : 10,207.68 = 2,124.70 : x
  2. Step 2: Convert to fraction form
    6,805.78/10,207.68 = 2,124.70/x
  3. Step 3: Cross multiply
    6,805.78x = 10,207.68 × 2,124.70
  4. Step 4: Simplify right side
    6,805.78x = 21,688,224.21
  5. Step 5: Solve for x
    x = 21,688,224.21/6,805.78
  6. Step 6: Final answer
    x = 3,186.74

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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.