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Finding the Fourth Proportional to 14,078, 19,427.64 and 7,791.32

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Solution

The fourth proportional to 14,078, 19,427.64 and 7,791.32 is: 10,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078 : 19,427.64 = 7,791.32 : x
  2. Step 2: Convert to fraction form
    14,078/19,427.64 = 7,791.32/x
  3. Step 3: Cross multiply
    14,078x = 19,427.64 × 7,791.32
  4. Step 4: Simplify right side
    14,078x = 151,366,960.08
  5. Step 5: Solve for x
    x = 151,366,960.08/14,078
  6. Step 6: Final answer
    x = 10,752.02

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Why These Related Problems?

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