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Finding the Fourth Proportional to 22,258.42, 30,718.10 and 12,827.59

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Solution

The fourth proportional to 22,258.42, 30,718.10 and 12,827.59 is: 17,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.42 : 30,718.10 = 12,827.59 : x
  2. Step 2: Convert to fraction form
    22,258.42/30,718.10 = 12,827.59/x
  3. Step 3: Cross multiply
    22,258.42x = 30,718.10 × 12,827.59
  4. Step 4: Simplify right side
    22,258.42x = 394,038,974.65
  5. Step 5: Solve for x
    x = 394,038,974.65/22,258.42
  6. Step 6: Final answer
    x = 17,702.92

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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.