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Finding the Fourth Proportional to 8,436, 12,638.16 and 7,799.52

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Solution

The fourth proportional to 8,436, 12,638.16 and 7,799.52 is: 11,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 12,638.16 = 7,799.52 : x
  2. Step 2: Convert to fraction form
    8,436/12,638.16 = 7,799.52/x
  3. Step 3: Cross multiply
    8,436x = 12,638.16 × 7,799.52
  4. Step 4: Simplify right side
    8,436x = 98,571,581.68
  5. Step 5: Solve for x
    x = 98,571,581.68/8,436
  6. Step 6: Final answer
    x = 11,684.64

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1.5x scale

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.