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Finding the Fourth Proportional to 12,123.63, 16,735.14 and 7,931.88

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Solution

The fourth proportional to 12,123.63, 16,735.14 and 7,931.88 is: 10,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.63 : 16,735.14 = 7,931.88 : x
  2. Step 2: Convert to fraction form
    12,123.63/16,735.14 = 7,931.88/x
  3. Step 3: Cross multiply
    12,123.63x = 16,735.14 × 7,931.88
  4. Step 4: Simplify right side
    12,123.63x = 132,741,122.26
  5. Step 5: Solve for x
    x = 132,741,122.26/12,123.63
  6. Step 6: Final answer
    x = 10,948.96

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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.