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Finding the Fourth Proportional to 13,051.40, 18,012.66 and 8,861

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Solution

The fourth proportional to 13,051.40, 18,012.66 and 8,861 is: 12,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.40 : 18,012.66 = 8,861 : x
  2. Step 2: Convert to fraction form
    13,051.40/18,012.66 = 8,861/x
  3. Step 3: Cross multiply
    13,051.40x = 18,012.66 × 8,861
  4. Step 4: Simplify right side
    13,051.40x = 159,610,180.26
  5. Step 5: Solve for x
    x = 159,610,180.26/13,051.40
  6. Step 6: Final answer
    x = 12,229.35

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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.