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Finding the Fourth Proportional to 22,883.04, 31,578.86 and 12,812.36

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Solution

The fourth proportional to 22,883.04, 31,578.86 and 12,812.36 is: 17,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.04 : 31,578.86 = 12,812.36 : x
  2. Step 2: Convert to fraction form
    22,883.04/31,578.86 = 12,812.36/x
  3. Step 3: Cross multiply
    22,883.04x = 31,578.86 × 12,812.36
  4. Step 4: Simplify right side
    22,883.04x = 404,599,774.48
  5. Step 5: Solve for x
    x = 404,599,774.48/22,883.04
  6. Step 6: Final answer
    x = 17,681.21

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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.