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Finding the Fourth Proportional to 9,675.12, 14,511 and 2,748

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Solution

The fourth proportional to 9,675.12, 14,511 and 2,748 is: 4,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.12 : 14,511 = 2,748 : x
  2. Step 2: Convert to fraction form
    9,675.12/14,511 = 2,748/x
  3. Step 3: Cross multiply
    9,675.12x = 14,511 × 2,748
  4. Step 4: Simplify right side
    9,675.12x = 39,876,228
  5. Step 5: Solve for x
    x = 39,876,228/9,675.12
  6. Step 6: Final answer
    x = 4,121.52

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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.