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Finding the Fourth Proportional to 13,005.60, 17,950.48 and 8,222.48

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Solution

The fourth proportional to 13,005.60, 17,950.48 and 8,222.48 is: 11,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.60 : 17,950.48 = 8,222.48 : x
  2. Step 2: Convert to fraction form
    13,005.60/17,950.48 = 8,222.48/x
  3. Step 3: Cross multiply
    13,005.60x = 17,950.48 × 8,222.48
  4. Step 4: Simplify right side
    13,005.60x = 147,597,462.79
  5. Step 5: Solve for x
    x = 147,597,462.79/13,005.60
  6. Step 6: Final answer
    x = 11,348.76

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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.