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Finding the Fourth Proportional to 13,497.87, 18,626.16 and 8,461.89

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Solution

The fourth proportional to 13,497.87, 18,626.16 and 8,461.89 is: 11,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.87 : 18,626.16 = 8,461.89 : x
  2. Step 2: Convert to fraction form
    13,497.87/18,626.16 = 8,461.89/x
  3. Step 3: Cross multiply
    13,497.87x = 18,626.16 × 8,461.89
  4. Step 4: Simplify right side
    13,497.87x = 157,612,517.04
  5. Step 5: Solve for x
    x = 157,612,517.04/13,497.87
  6. Step 6: Final answer
    x = 11,676.84

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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.