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Finding the Fourth Proportional to 13,536, 20,307.60 and 4,302

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Solution

The fourth proportional to 13,536, 20,307.60 and 4,302 is: 6,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536 : 20,307.60 = 4,302 : x
  2. Step 2: Convert to fraction form
    13,536/20,307.60 = 4,302/x
  3. Step 3: Cross multiply
    13,536x = 20,307.60 × 4,302
  4. Step 4: Simplify right side
    13,536x = 87,363,295.20
  5. Step 5: Solve for x
    x = 87,363,295.20/13,536
  6. Step 6: Final answer
    x = 6,454.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.