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Finding the Fourth Proportional to 38,431, 53,035.59 and 21,664

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Solution

The fourth proportional to 38,431, 53,035.59 and 21,664 is: 29,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431 : 53,035.59 = 21,664 : x
  2. Step 2: Convert to fraction form
    38,431/53,035.59 = 21,664/x
  3. Step 3: Cross multiply
    38,431x = 53,035.59 × 21,664
  4. Step 4: Simplify right side
    38,431x = 1,148,963,021.76
  5. Step 5: Solve for x
    x = 1,148,963,021.76/38,431
  6. Step 6: Final answer
    x = 29,896.78

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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.