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Finding the Fourth Proportional to 12,916.68, 17,824.50 and 7,611.72

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Solution

The fourth proportional to 12,916.68, 17,824.50 and 7,611.72 is: 10,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.68 : 17,824.50 = 7,611.72 : x
  2. Step 2: Convert to fraction form
    12,916.68/17,824.50 = 7,611.72/x
  3. Step 3: Cross multiply
    12,916.68x = 17,824.50 × 7,611.72
  4. Step 4: Simplify right side
    12,916.68x = 135,675,103.14
  5. Step 5: Solve for x
    x = 135,675,103.14/12,916.68
  6. Step 6: Final answer
    x = 10,503.87

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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.