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Finding the Fourth Proportional to 8,509.55, 12,780.72 and 7,204.64

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Solution

The fourth proportional to 8,509.55, 12,780.72 and 7,204.64 is: 10,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.55 : 12,780.72 = 7,204.64 : x
  2. Step 2: Convert to fraction form
    8,509.55/12,780.72 = 7,204.64/x
  3. Step 3: Cross multiply
    8,509.55x = 12,780.72 × 7,204.64
  4. Step 4: Simplify right side
    8,509.55x = 92,080,422.64
  5. Step 5: Solve for x
    x = 92,080,422.64/8,509.55
  6. Step 6: Final answer
    x = 10,820.84

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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.