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Finding the Fourth Proportional to 38,920, 53,710.88 and 21,256

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Solution

The fourth proportional to 38,920, 53,710.88 and 21,256 is: 29,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920 : 53,710.88 = 21,256 : x
  2. Step 2: Convert to fraction form
    38,920/53,710.88 = 21,256/x
  3. Step 3: Cross multiply
    38,920x = 53,710.88 × 21,256
  4. Step 4: Simplify right side
    38,920x = 1,141,678,465.28
  5. Step 5: Solve for x
    x = 1,141,678,465.28/38,920
  6. Step 6: Final answer
    x = 29,333.98

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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.