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Finding the Fourth Proportional to 8,300.80, 12,422.40 and 7,609.60

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Solution

The fourth proportional to 8,300.80, 12,422.40 and 7,609.60 is: 11,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.80 : 12,422.40 = 7,609.60 : x
  2. Step 2: Convert to fraction form
    8,300.80/12,422.40 = 7,609.60/x
  3. Step 3: Cross multiply
    8,300.80x = 12,422.40 × 7,609.60
  4. Step 4: Simplify right side
    8,300.80x = 94,529,495.04
  5. Step 5: Solve for x
    x = 94,529,495.04/8,300.80
  6. Step 6: Final answer
    x = 11,388.00

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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.