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Finding the Fourth Proportional to 38,920.80, 53,714.88 and 22,152

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Solution

The fourth proportional to 38,920.80, 53,714.88 and 22,152 is: 30,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920.80 : 53,714.88 = 22,152 : x
  2. Step 2: Convert to fraction form
    38,920.80/53,714.88 = 22,152/x
  3. Step 3: Cross multiply
    38,920.80x = 53,714.88 × 22,152
  4. Step 4: Simplify right side
    38,920.80x = 1,189,892,021.76
  5. Step 5: Solve for x
    x = 1,189,892,021.76/38,920.80
  6. Step 6: Final answer
    x = 30,572.14

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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.