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Finding the Fourth Proportional to 2,630.46, 3,946.59 and 1,170.63

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Solution

The fourth proportional to 2,630.46, 3,946.59 and 1,170.63 is: 1,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.46 : 3,946.59 = 1,170.63 : x
  2. Step 2: Convert to fraction form
    2,630.46/3,946.59 = 1,170.63/x
  3. Step 3: Cross multiply
    2,630.46x = 3,946.59 × 1,170.63
  4. Step 4: Simplify right side
    2,630.46x = 4,619,996.65
  5. Step 5: Solve for x
    x = 4,619,996.65/2,630.46
  6. Step 6: Final answer
    x = 1,756.35

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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.