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Finding the Fourth Proportional to 38,889, 53,666.82 and 21,225

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Solution

The fourth proportional to 38,889, 53,666.82 and 21,225 is: 29,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,889 : 53,666.82 = 21,225 : x
  2. Step 2: Convert to fraction form
    38,889/53,666.82 = 21,225/x
  3. Step 3: Cross multiply
    38,889x = 53,666.82 × 21,225
  4. Step 4: Simplify right side
    38,889x = 1,139,078,254.50
  5. Step 5: Solve for x
    x = 1,139,078,254.50/38,889
  6. Step 6: Final answer
    x = 29,290.50

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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.