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Finding the Fourth Proportional to 8,530.80, 11,784.60 and 8,271.60

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Solution

The fourth proportional to 8,530.80, 11,784.60 and 8,271.60 is: 11,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.80 : 11,784.60 = 8,271.60 : x
  2. Step 2: Convert to fraction form
    8,530.80/11,784.60 = 8,271.60/x
  3. Step 3: Cross multiply
    8,530.80x = 11,784.60 × 8,271.60
  4. Step 4: Simplify right side
    8,530.80x = 97,477,497.36
  5. Step 5: Solve for x
    x = 97,477,497.36/8,530.80
  6. Step 6: Final answer
    x = 11,426.54

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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.