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Finding the Fourth Proportional to 19,309.78, 26,652 and 12,583.72

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Solution

The fourth proportional to 19,309.78, 26,652 and 12,583.72 is: 17,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.78 : 26,652 = 12,583.72 : x
  2. Step 2: Convert to fraction form
    19,309.78/26,652 = 12,583.72/x
  3. Step 3: Cross multiply
    19,309.78x = 26,652 × 12,583.72
  4. Step 4: Simplify right side
    19,309.78x = 335,381,305.44
  5. Step 5: Solve for x
    x = 335,381,305.44/19,309.78
  6. Step 6: Final answer
    x = 17,368.47

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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.