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Finding the Fourth Proportional to 38,300, 52,854 and 21,533.12

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Solution

The fourth proportional to 38,300, 52,854 and 21,533.12 is: 29,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300 : 52,854 = 21,533.12 : x
  2. Step 2: Convert to fraction form
    38,300/52,854 = 21,533.12/x
  3. Step 3: Cross multiply
    38,300x = 52,854 × 21,533.12
  4. Step 4: Simplify right side
    38,300x = 1,138,111,524.48
  5. Step 5: Solve for x
    x = 1,138,111,524.48/38,300
  6. Step 6: Final answer
    x = 29,715.71

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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.