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Finding the Fourth Proportional to 3,102.66, 4,653.57 and 1,370.88

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Solution

The fourth proportional to 3,102.66, 4,653.57 and 1,370.88 is: 2,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.66 : 4,653.57 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    3,102.66/4,653.57 = 1,370.88/x
  3. Step 3: Cross multiply
    3,102.66x = 4,653.57 × 1,370.88
  4. Step 4: Simplify right side
    3,102.66x = 6,379,486.04
  5. Step 5: Solve for x
    x = 6,379,486.04/3,102.66
  6. Step 6: Final answer
    x = 2,056.13

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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.