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Finding the Fourth Proportional to 30,403, 41,956.14 and 17,155

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Solution

The fourth proportional to 30,403, 41,956.14 and 17,155 is: 23,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403 : 41,956.14 = 17,155 : x
  2. Step 2: Convert to fraction form
    30,403/41,956.14 = 17,155/x
  3. Step 3: Cross multiply
    30,403x = 41,956.14 × 17,155
  4. Step 4: Simplify right side
    30,403x = 719,757,581.70
  5. Step 5: Solve for x
    x = 719,757,581.70/30,403
  6. Step 6: Final answer
    x = 23,673.90

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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.