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Finding the Fourth Proportional to 9,326.25, 12,862.40 and 5,787.09

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Solution

The fourth proportional to 9,326.25, 12,862.40 and 5,787.09 is: 7,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.25 : 12,862.40 = 5,787.09 : x
  2. Step 2: Convert to fraction form
    9,326.25/12,862.40 = 5,787.09/x
  3. Step 3: Cross multiply
    9,326.25x = 12,862.40 × 5,787.09
  4. Step 4: Simplify right side
    9,326.25x = 74,435,837.48
  5. Step 5: Solve for x
    x = 74,435,837.48/9,326.25
  6. Step 6: Final answer
    x = 7,981.33

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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.