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Finding the Fourth Proportional to 30,679, 42,319.70 and 19,329

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Solution

The fourth proportional to 30,679, 42,319.70 and 19,329 is: 26,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679 : 42,319.70 = 19,329 : x
  2. Step 2: Convert to fraction form
    30,679/42,319.70 = 19,329/x
  3. Step 3: Cross multiply
    30,679x = 42,319.70 × 19,329
  4. Step 4: Simplify right side
    30,679x = 817,997,481.30
  5. Step 5: Solve for x
    x = 817,997,481.30/30,679
  6. Step 6: Final answer
    x = 26,663.11

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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.