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Finding the Fourth Proportional to 21,930, 30,268.80 and 13,430.58

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Solution

The fourth proportional to 21,930, 30,268.80 and 13,430.58 is: 18,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930 : 30,268.80 = 13,430.58 : x
  2. Step 2: Convert to fraction form
    21,930/30,268.80 = 13,430.58/x
  3. Step 3: Cross multiply
    21,930x = 30,268.80 × 13,430.58
  4. Step 4: Simplify right side
    21,930x = 406,527,539.90
  5. Step 5: Solve for x
    x = 406,527,539.90/21,930
  6. Step 6: Final answer
    x = 18,537.51

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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.