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Finding the Fourth Proportional to 6,920.34, 10,384.14 and 4,152.57

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Solution

The fourth proportional to 6,920.34, 10,384.14 and 4,152.57 is: 6,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.34 : 10,384.14 = 4,152.57 : x
  2. Step 2: Convert to fraction form
    6,920.34/10,384.14 = 4,152.57/x
  3. Step 3: Cross multiply
    6,920.34x = 10,384.14 × 4,152.57
  4. Step 4: Simplify right side
    6,920.34x = 43,120,868.24
  5. Step 5: Solve for x
    x = 43,120,868.24/6,920.34
  6. Step 6: Final answer
    x = 6,231.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.