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Finding the Fourth Proportional to 12,283.76, 16,954.32 and 7,806.63

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Solution

The fourth proportional to 12,283.76, 16,954.32 and 7,806.63 is: 10,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.76 : 16,954.32 = 7,806.63 : x
  2. Step 2: Convert to fraction form
    12,283.76/16,954.32 = 7,806.63/x
  3. Step 3: Cross multiply
    12,283.76x = 16,954.32 × 7,806.63
  4. Step 4: Simplify right side
    12,283.76x = 132,356,103.14
  5. Step 5: Solve for x
    x = 132,356,103.14/12,283.76
  6. Step 6: Final answer
    x = 10,774.89

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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.