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Finding the Fourth Proportional to 30,232.84, 45,348 and 9,172.12

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Solution

The fourth proportional to 30,232.84, 45,348 and 9,172.12 is: 13,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.84 : 45,348 = 9,172.12 : x
  2. Step 2: Convert to fraction form
    30,232.84/45,348 = 9,172.12/x
  3. Step 3: Cross multiply
    30,232.84x = 45,348 × 9,172.12
  4. Step 4: Simplify right side
    30,232.84x = 415,937,297.76
  5. Step 5: Solve for x
    x = 415,937,297.76/30,232.84
  6. Step 6: Final answer
    x = 13,757.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.