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Finding the Fourth Proportional to 9,898.56, 13,659.62 and 5,917.32

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Solution

The fourth proportional to 9,898.56, 13,659.62 and 5,917.32 is: 8,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.56 : 13,659.62 = 5,917.32 : x
  2. Step 2: Convert to fraction form
    9,898.56/13,659.62 = 5,917.32/x
  3. Step 3: Cross multiply
    9,898.56x = 13,659.62 × 5,917.32
  4. Step 4: Simplify right side
    9,898.56x = 80,828,313.03
  5. Step 5: Solve for x
    x = 80,828,313.03/9,898.56
  6. Step 6: Final answer
    x = 8,165.66

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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.