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Finding the Fourth Proportional to 38,928, 53,720.64 and 21,264

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Solution

The fourth proportional to 38,928, 53,720.64 and 21,264 is: 29,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,928 : 53,720.64 = 21,264 : x
  2. Step 2: Convert to fraction form
    38,928/53,720.64 = 21,264/x
  3. Step 3: Cross multiply
    38,928x = 53,720.64 × 21,264
  4. Step 4: Simplify right side
    38,928x = 1,142,315,688.96
  5. Step 5: Solve for x
    x = 1,142,315,688.96/38,928
  6. Step 6: Final answer
    x = 29,344.32

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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.