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Finding the Fourth Proportional to 9,076.20, 13,588.70 and 8,820.20

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Solution

The fourth proportional to 9,076.20, 13,588.70 and 8,820.20 is: 13,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.20 : 13,588.70 = 8,820.20 : x
  2. Step 2: Convert to fraction form
    9,076.20/13,588.70 = 8,820.20/x
  3. Step 3: Cross multiply
    9,076.20x = 13,588.70 × 8,820.20
  4. Step 4: Simplify right side
    9,076.20x = 119,855,051.74
  5. Step 5: Solve for x
    x = 119,855,051.74/9,076.20
  6. Step 6: Final answer
    x = 13,205.42

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1.5x scale

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.