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Finding the Fourth Proportional to 30,478, 42,065.40 and 17,230

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Solution

The fourth proportional to 30,478, 42,065.40 and 17,230 is: 23,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478 : 42,065.40 = 17,230 : x
  2. Step 2: Convert to fraction form
    30,478/42,065.40 = 17,230/x
  3. Step 3: Cross multiply
    30,478x = 42,065.40 × 17,230
  4. Step 4: Simplify right side
    30,478x = 724,786,842
  5. Step 5: Solve for x
    x = 724,786,842/30,478
  6. Step 6: Final answer
    x = 23,780.66

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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.