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Finding the Fourth Proportional to 8,572.26, 12,852.06 and 3,638.76

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Solution

The fourth proportional to 8,572.26, 12,852.06 and 3,638.76 is: 5,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.26 : 12,852.06 = 3,638.76 : x
  2. Step 2: Convert to fraction form
    8,572.26/12,852.06 = 3,638.76/x
  3. Step 3: Cross multiply
    8,572.26x = 12,852.06 × 3,638.76
  4. Step 4: Simplify right side
    8,572.26x = 46,765,561.85
  5. Step 5: Solve for x
    x = 46,765,561.85/8,572.26
  6. Step 6: Final answer
    x = 5,455.45

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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.