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Finding the Fourth Proportional to 2,971.65, 4,099.59 and 1,792.07

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Solution

The fourth proportional to 2,971.65, 4,099.59 and 1,792.07 is: 2,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.65 : 4,099.59 = 1,792.07 : x
  2. Step 2: Convert to fraction form
    2,971.65/4,099.59 = 1,792.07/x
  3. Step 3: Cross multiply
    2,971.65x = 4,099.59 × 1,792.07
  4. Step 4: Simplify right side
    2,971.65x = 7,346,731.75
  5. Step 5: Solve for x
    x = 7,346,731.75/2,971.65
  6. Step 6: Final answer
    x = 2,472.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.