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Finding the Fourth Proportional to 9,150.10, 13,728.76 and 3,886.25

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Solution

The fourth proportional to 9,150.10, 13,728.76 and 3,886.25 is: 5,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.10 : 13,728.76 = 3,886.25 : x
  2. Step 2: Convert to fraction form
    9,150.10/13,728.76 = 3,886.25/x
  3. Step 3: Cross multiply
    9,150.10x = 13,728.76 × 3,886.25
  4. Step 4: Simplify right side
    9,150.10x = 53,353,315.19
  5. Step 5: Solve for x
    x = 53,353,315.19/9,150.10
  6. Step 6: Final answer
    x = 5,830.90

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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.