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Finding the Fourth Proportional to 6,920.50, 10,380.84 and 2,303.50

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Solution

The fourth proportional to 6,920.50, 10,380.84 and 2,303.50 is: 3,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.50 : 10,380.84 = 2,303.50 : x
  2. Step 2: Convert to fraction form
    6,920.50/10,380.84 = 2,303.50/x
  3. Step 3: Cross multiply
    6,920.50x = 10,380.84 × 2,303.50
  4. Step 4: Simplify right side
    6,920.50x = 23,912,264.94
  5. Step 5: Solve for x
    x = 23,912,264.94/6,920.50
  6. Step 6: Final answer
    x = 3,455.28

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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.