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Finding the Fourth Proportional to 21,402, 29,534.76 and 13,950

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Solution

The fourth proportional to 21,402, 29,534.76 and 13,950 is: 19,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402 : 29,534.76 = 13,950 : x
  2. Step 2: Convert to fraction form
    21,402/29,534.76 = 13,950/x
  3. Step 3: Cross multiply
    21,402x = 29,534.76 × 13,950
  4. Step 4: Simplify right side
    21,402x = 412,009,902
  5. Step 5: Solve for x
    x = 412,009,902/21,402
  6. Step 6: Final answer
    x = 19,251

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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.