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Finding the Fourth Proportional to 9,243.32, 12,765.10 and 5,887.64

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Solution

The fourth proportional to 9,243.32, 12,765.10 and 5,887.64 is: 8,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.32 : 12,765.10 = 5,887.64 : x
  2. Step 2: Convert to fraction form
    9,243.32/12,765.10 = 5,887.64/x
  3. Step 3: Cross multiply
    9,243.32x = 12,765.10 × 5,887.64
  4. Step 4: Simplify right side
    9,243.32x = 75,156,313.36
  5. Step 5: Solve for x
    x = 75,156,313.36/9,243.32
  6. Step 6: Final answer
    x = 8,130.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.