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Finding the Fourth Proportional to 38,816, 53,566.08 and 21,152

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Solution

The fourth proportional to 38,816, 53,566.08 and 21,152 is: 29,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 53,566.08 = 21,152 : x
  2. Step 2: Convert to fraction form
    38,816/53,566.08 = 21,152/x
  3. Step 3: Cross multiply
    38,816x = 53,566.08 × 21,152
  4. Step 4: Simplify right side
    38,816x = 1,133,029,724.16
  5. Step 5: Solve for x
    x = 1,133,029,724.16/38,816
  6. Step 6: Final answer
    x = 29,189.76

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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.