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Finding the Fourth Proportional to 11,503.46, 15,859.05 and 9,513.38

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Solution

The fourth proportional to 11,503.46, 15,859.05 and 9,513.38 is: 13,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.46 : 15,859.05 = 9,513.38 : x
  2. Step 2: Convert to fraction form
    11,503.46/15,859.05 = 9,513.38/x
  3. Step 3: Cross multiply
    11,503.46x = 15,859.05 × 9,513.38
  4. Step 4: Simplify right side
    11,503.46x = 150,873,169.09
  5. Step 5: Solve for x
    x = 150,873,169.09/11,503.46
  6. Step 6: Final answer
    x = 13,115.46

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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.