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Finding the Fourth Proportional to 13,461.63, 18,581.24 and 9,211.09

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Solution

The fourth proportional to 13,461.63, 18,581.24 and 9,211.09 is: 12,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.63 : 18,581.24 = 9,211.09 : x
  2. Step 2: Convert to fraction form
    13,461.63/18,581.24 = 9,211.09/x
  3. Step 3: Cross multiply
    13,461.63x = 18,581.24 × 9,211.09
  4. Step 4: Simplify right side
    13,461.63x = 171,153,473.95
  5. Step 5: Solve for x
    x = 171,153,473.95/13,461.63
  6. Step 6: Final answer
    x = 12,714.17

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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.