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Finding the Fourth Proportional to 20,702.46, 28,567 and 11,748.18

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Solution

The fourth proportional to 20,702.46, 28,567 and 11,748.18 is: 16,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.46 : 28,567 = 11,748.18 : x
  2. Step 2: Convert to fraction form
    20,702.46/28,567 = 11,748.18/x
  3. Step 3: Cross multiply
    20,702.46x = 28,567 × 11,748.18
  4. Step 4: Simplify right side
    20,702.46x = 335,610,258.06
  5. Step 5: Solve for x
    x = 335,610,258.06/20,702.46
  6. Step 6: Final answer
    x = 16,211.13

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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.