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Finding the Fourth Proportional to 8,101.53, 12,128.00 and 5,762.25

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Solution

The fourth proportional to 8,101.53, 12,128.00 and 5,762.25 is: 8,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.53 : 12,128.00 = 5,762.25 : x
  2. Step 2: Convert to fraction form
    8,101.53/12,128.00 = 5,762.25/x
  3. Step 3: Cross multiply
    8,101.53x = 12,128.00 × 5,762.25
  4. Step 4: Simplify right side
    8,101.53x = 69,884,539.19
  5. Step 5: Solve for x
    x = 69,884,539.19/8,101.53
  6. Step 6: Final answer
    x = 8,626.09

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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.