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Finding the Fourth Proportional to 19,368, 26,724.48 and 11,409.60

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Solution

The fourth proportional to 19,368, 26,724.48 and 11,409.60 is: 15,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 26,724.48 = 11,409.60 : x
  2. Step 2: Convert to fraction form
    19,368/26,724.48 = 11,409.60/x
  3. Step 3: Cross multiply
    19,368x = 26,724.48 × 11,409.60
  4. Step 4: Simplify right side
    19,368x = 304,915,627.01
  5. Step 5: Solve for x
    x = 304,915,627.01/19,368
  6. Step 6: Final answer
    x = 15,743.27

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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.