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Finding the Fourth Proportional to 13,503.40, 18,636.39 and 7,836.93

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Solution

The fourth proportional to 13,503.40, 18,636.39 and 7,836.93 is: 10,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.40 : 18,636.39 = 7,836.93 : x
  2. Step 2: Convert to fraction form
    13,503.40/18,636.39 = 7,836.93/x
  3. Step 3: Cross multiply
    13,503.40x = 18,636.39 × 7,836.93
  4. Step 4: Simplify right side
    13,503.40x = 146,052,083.88
  5. Step 5: Solve for x
    x = 146,052,083.88/13,503.40
  6. Step 6: Final answer
    x = 10,815.95

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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.