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Finding the Fourth Proportional to 3,068.16, 4,234 and 1,670.92

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Solution

The fourth proportional to 3,068.16, 4,234 and 1,670.92 is: 2,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.16 : 4,234 = 1,670.92 : x
  2. Step 2: Convert to fraction form
    3,068.16/4,234 = 1,670.92/x
  3. Step 3: Cross multiply
    3,068.16x = 4,234 × 1,670.92
  4. Step 4: Simplify right side
    3,068.16x = 7,074,675.28
  5. Step 5: Solve for x
    x = 7,074,675.28/3,068.16
  6. Step 6: Final answer
    x = 2,305.84

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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.