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Finding the Fourth Proportional to 30,028.50, 45,045.18 and 9,252

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Solution

The fourth proportional to 30,028.50, 45,045.18 and 9,252 is: 13,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,028.50 : 45,045.18 = 9,252 : x
  2. Step 2: Convert to fraction form
    30,028.50/45,045.18 = 9,252/x
  3. Step 3: Cross multiply
    30,028.50x = 45,045.18 × 9,252
  4. Step 4: Simplify right side
    30,028.50x = 416,758,005.36
  5. Step 5: Solve for x
    x = 416,758,005.36/30,028.50
  6. Step 6: Final answer
    x = 13,878.75

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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.