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Finding the Fourth Proportional to 6,969.76, 10,454.76 and 1,704.78

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Solution

The fourth proportional to 6,969.76, 10,454.76 and 1,704.78 is: 2,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.76 : 10,454.76 = 1,704.78 : x
  2. Step 2: Convert to fraction form
    6,969.76/10,454.76 = 1,704.78/x
  3. Step 3: Cross multiply
    6,969.76x = 10,454.76 × 1,704.78
  4. Step 4: Simplify right side
    6,969.76x = 17,823,065.75
  5. Step 5: Solve for x
    x = 17,823,065.75/6,969.76
  6. Step 6: Final answer
    x = 2,557.20

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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.