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Finding the Fourth Proportional to 6,902.88, 10,352.85 and 1,971.21

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Solution

The fourth proportional to 6,902.88, 10,352.85 and 1,971.21 is: 2,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.88 : 10,352.85 = 1,971.21 : x
  2. Step 2: Convert to fraction form
    6,902.88/10,352.85 = 1,971.21/x
  3. Step 3: Cross multiply
    6,902.88x = 10,352.85 × 1,971.21
  4. Step 4: Simplify right side
    6,902.88x = 20,407,641.45
  5. Step 5: Solve for x
    x = 20,407,641.45/6,902.88
  6. Step 6: Final answer
    x = 2,956.40

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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.