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Finding the Fourth Proportional to 30,969.84, 42,744.60 and 18,392.16

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Solution

The fourth proportional to 30,969.84, 42,744.60 and 18,392.16 is: 25,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.84 : 42,744.60 = 18,392.16 : x
  2. Step 2: Convert to fraction form
    30,969.84/42,744.60 = 18,392.16/x
  3. Step 3: Cross multiply
    30,969.84x = 42,744.60 × 18,392.16
  4. Step 4: Simplify right side
    30,969.84x = 786,165,522.34
  5. Step 5: Solve for x
    x = 786,165,522.34/30,969.84
  6. Step 6: Final answer
    x = 25,384.88

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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.