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Finding the Fourth Proportional to 6,868.34, 9,478.50 and 3,884.63

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Solution

The fourth proportional to 6,868.34, 9,478.50 and 3,884.63 is: 5,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.34 : 9,478.50 = 3,884.63 : x
  2. Step 2: Convert to fraction form
    6,868.34/9,478.50 = 3,884.63/x
  3. Step 3: Cross multiply
    6,868.34x = 9,478.50 × 3,884.63
  4. Step 4: Simplify right side
    6,868.34x = 36,820,425.35
  5. Step 5: Solve for x
    x = 36,820,425.35/6,868.34
  6. Step 6: Final answer
    x = 5,360.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.