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Finding the Fourth Proportional to 8,733.34, 13,100.10 and 3,538

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Solution

The fourth proportional to 8,733.34, 13,100.10 and 3,538 is: 5,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.34 : 13,100.10 = 3,538 : x
  2. Step 2: Convert to fraction form
    8,733.34/13,100.10 = 3,538/x
  3. Step 3: Cross multiply
    8,733.34x = 13,100.10 × 3,538
  4. Step 4: Simplify right side
    8,733.34x = 46,348,153.80
  5. Step 5: Solve for x
    x = 46,348,153.80/8,733.34
  6. Step 6: Final answer
    x = 5,307.04

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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.