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Finding the Fourth Proportional to 3,068.63, 4,234.79 and 1,671.47

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Solution

The fourth proportional to 3,068.63, 4,234.79 and 1,671.47 is: 2,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.63 : 4,234.79 = 1,671.47 : x
  2. Step 2: Convert to fraction form
    3,068.63/4,234.79 = 1,671.47/x
  3. Step 3: Cross multiply
    3,068.63x = 4,234.79 × 1,671.47
  4. Step 4: Simplify right side
    3,068.63x = 7,078,307.45
  5. Step 5: Solve for x
    x = 7,078,307.45/3,068.63
  6. Step 6: Final answer
    x = 2,306.67

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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.