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Finding the Fourth Proportional to 22,762.51, 31,409.72 and 13,812.19

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Solution

The fourth proportional to 22,762.51, 31,409.72 and 13,812.19 is: 19,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.51 : 31,409.72 = 13,812.19 : x
  2. Step 2: Convert to fraction form
    22,762.51/31,409.72 = 13,812.19/x
  3. Step 3: Cross multiply
    22,762.51x = 31,409.72 × 13,812.19
  4. Step 4: Simplify right side
    22,762.51x = 433,836,863.44
  5. Step 5: Solve for x
    x = 433,836,863.44/22,762.51
  6. Step 6: Final answer
    x = 19,059.28

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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.