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Finding the Fourth Proportional to 30,456, 42,034.14 and 17,878.32

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Solution

The fourth proportional to 30,456, 42,034.14 and 17,878.32 is: 24,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 42,034.14 = 17,878.32 : x
  2. Step 2: Convert to fraction form
    30,456/42,034.14 = 17,878.32/x
  3. Step 3: Cross multiply
    30,456x = 42,034.14 × 17,878.32
  4. Step 4: Simplify right side
    30,456x = 751,499,805.84
  5. Step 5: Solve for x
    x = 751,499,805.84/30,456
  6. Step 6: Final answer
    x = 24,674.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.