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Finding the Fourth Proportional to 11,349.77, 15,662.40 and 6,313.80

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Solution

The fourth proportional to 11,349.77, 15,662.40 and 6,313.80 is: 8,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.77 : 15,662.40 = 6,313.80 : x
  2. Step 2: Convert to fraction form
    11,349.77/15,662.40 = 6,313.80/x
  3. Step 3: Cross multiply
    11,349.77x = 15,662.40 × 6,313.80
  4. Step 4: Simplify right side
    11,349.77x = 98,889,261.12
  5. Step 5: Solve for x
    x = 98,889,261.12/11,349.77
  6. Step 6: Final answer
    x = 8,712.89

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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.