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Finding the Fourth Proportional to 38,818.60, 53,554.52 and 21,819

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Solution

The fourth proportional to 38,818.60, 53,554.52 and 21,819 is: 30,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,818.60 : 53,554.52 = 21,819 : x
  2. Step 2: Convert to fraction form
    38,818.60/53,554.52 = 21,819/x
  3. Step 3: Cross multiply
    38,818.60x = 53,554.52 × 21,819
  4. Step 4: Simplify right side
    38,818.60x = 1,168,506,071.88
  5. Step 5: Solve for x
    x = 1,168,506,071.88/38,818.60
  6. Step 6: Final answer
    x = 30,101.71

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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.