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Finding the Fourth Proportional to 2,971.60, 4,100.80 and 1,792.74

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Solution

The fourth proportional to 2,971.60, 4,100.80 and 1,792.74 is: 2,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.60 : 4,100.80 = 1,792.74 : x
  2. Step 2: Convert to fraction form
    2,971.60/4,100.80 = 1,792.74/x
  3. Step 3: Cross multiply
    2,971.60x = 4,100.80 × 1,792.74
  4. Step 4: Simplify right side
    2,971.60x = 7,351,668.19
  5. Step 5: Solve for x
    x = 7,351,668.19/2,971.60
  6. Step 6: Final answer
    x = 2,473.98

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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.