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Finding the Fourth Proportional to 11,888, 17,832.48 and 5,314.64

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Solution

The fourth proportional to 11,888, 17,832.48 and 5,314.64 is: 7,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888 : 17,832.48 = 5,314.64 : x
  2. Step 2: Convert to fraction form
    11,888/17,832.48 = 5,314.64/x
  3. Step 3: Cross multiply
    11,888x = 17,832.48 × 5,314.64
  4. Step 4: Simplify right side
    11,888x = 94,773,211.51
  5. Step 5: Solve for x
    x = 94,773,211.51/11,888
  6. Step 6: Final answer
    x = 7,972.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.