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Finding the Fourth Proportional to 9,053.45, 13,581.19 and 8,123.29

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Solution

The fourth proportional to 9,053.45, 13,581.19 and 8,123.29 is: 12,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.45 : 13,581.19 = 8,123.29 : x
  2. Step 2: Convert to fraction form
    9,053.45/13,581.19 = 8,123.29/x
  3. Step 3: Cross multiply
    9,053.45x = 13,581.19 × 8,123.29
  4. Step 4: Simplify right side
    9,053.45x = 110,323,877.01
  5. Step 5: Solve for x
    x = 110,323,877.01/9,053.45
  6. Step 6: Final answer
    x = 12,185.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.