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Finding the Fourth Proportional to 22,862.25, 31,548.41 and 12,788.95

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Solution

The fourth proportional to 22,862.25, 31,548.41 and 12,788.95 is: 17,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.25 : 31,548.41 = 12,788.95 : x
  2. Step 2: Convert to fraction form
    22,862.25/31,548.41 = 12,788.95/x
  3. Step 3: Cross multiply
    22,862.25x = 31,548.41 × 12,788.95
  4. Step 4: Simplify right side
    22,862.25x = 403,471,038.07
  5. Step 5: Solve for x
    x = 403,471,038.07/22,862.25
  6. Step 6: Final answer
    x = 17,647.91

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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.