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Finding the Fourth Proportional to 12,282, 16,949.64 and 7,316.88

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Solution

The fourth proportional to 12,282, 16,949.64 and 7,316.88 is: 10,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282 : 16,949.64 = 7,316.88 : x
  2. Step 2: Convert to fraction form
    12,282/16,949.64 = 7,316.88/x
  3. Step 3: Cross multiply
    12,282x = 16,949.64 × 7,316.88
  4. Step 4: Simplify right side
    12,282x = 124,018,481.92
  5. Step 5: Solve for x
    x = 124,018,481.92/12,282
  6. Step 6: Final answer
    x = 10,097.58

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1.5x scale

Why These Related Problems?

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