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Finding the Fourth Proportional to 30,277.40, 41,784.02 and 18,334

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Solution

The fourth proportional to 30,277.40, 41,784.02 and 18,334 is: 25,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.40 : 41,784.02 = 18,334 : x
  2. Step 2: Convert to fraction form
    30,277.40/41,784.02 = 18,334/x
  3. Step 3: Cross multiply
    30,277.40x = 41,784.02 × 18,334
  4. Step 4: Simplify right side
    30,277.40x = 766,068,222.68
  5. Step 5: Solve for x
    x = 766,068,222.68/30,277.40
  6. Step 6: Final answer
    x = 25,301.65

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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.