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Finding the Fourth Proportional to 30,402, 41,954.76 and 17,154

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Solution

The fourth proportional to 30,402, 41,954.76 and 17,154 is: 23,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402 : 41,954.76 = 17,154 : x
  2. Step 2: Convert to fraction form
    30,402/41,954.76 = 17,154/x
  3. Step 3: Cross multiply
    30,402x = 41,954.76 × 17,154
  4. Step 4: Simplify right side
    30,402x = 719,691,953.04
  5. Step 5: Solve for x
    x = 719,691,953.04/30,402
  6. Step 6: Final answer
    x = 23,672.52

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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.