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Finding the Fourth Proportional to 19,536, 26,959.68 and 11,152.72

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Solution

The fourth proportional to 19,536, 26,959.68 and 11,152.72 is: 15,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536 : 26,959.68 = 11,152.72 : x
  2. Step 2: Convert to fraction form
    19,536/26,959.68 = 11,152.72/x
  3. Step 3: Cross multiply
    19,536x = 26,959.68 × 11,152.72
  4. Step 4: Simplify right side
    19,536x = 300,673,762.33
  5. Step 5: Solve for x
    x = 300,673,762.33/19,536
  6. Step 6: Final answer
    x = 15,390.75

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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.