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Finding the Fourth Proportional to 12,936, 19,407.36 and 9,424.32

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Solution

The fourth proportional to 12,936, 19,407.36 and 9,424.32 is: 14,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,936 : 19,407.36 = 9,424.32 : x
  2. Step 2: Convert to fraction form
    12,936/19,407.36 = 9,424.32/x
  3. Step 3: Cross multiply
    12,936x = 19,407.36 × 9,424.32
  4. Step 4: Simplify right side
    12,936x = 182,901,171.00
  5. Step 5: Solve for x
    x = 182,901,171.00/12,936
  6. Step 6: Final answer
    x = 14,138.93

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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.