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Finding the Fourth Proportional to 15,226.02, 21,006 and 9,558.36

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Solution

The fourth proportional to 15,226.02, 21,006 and 9,558.36 is: 13,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.02 : 21,006 = 9,558.36 : x
  2. Step 2: Convert to fraction form
    15,226.02/21,006 = 9,558.36/x
  3. Step 3: Cross multiply
    15,226.02x = 21,006 × 9,558.36
  4. Step 4: Simplify right side
    15,226.02x = 200,782,910.16
  5. Step 5: Solve for x
    x = 200,782,910.16/15,226.02
  6. Step 6: Final answer
    x = 13,186.83

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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.