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Finding the Fourth Proportional to 30,770, 42,462.78 and 18,030.70

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Solution

The fourth proportional to 30,770, 42,462.78 and 18,030.70 is: 24,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770 : 42,462.78 = 18,030.70 : x
  2. Step 2: Convert to fraction form
    30,770/42,462.78 = 18,030.70/x
  3. Step 3: Cross multiply
    30,770x = 42,462.78 × 18,030.70
  4. Step 4: Simplify right side
    30,770x = 765,633,647.35
  5. Step 5: Solve for x
    x = 765,633,647.35/30,770
  6. Step 6: Final answer
    x = 24,882.47

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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.