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Finding the Fourth Proportional to 8,482.62, 12,730 and 6,284.72

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Solution

The fourth proportional to 8,482.62, 12,730 and 6,284.72 is: 9,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.62 : 12,730 = 6,284.72 : x
  2. Step 2: Convert to fraction form
    8,482.62/12,730 = 6,284.72/x
  3. Step 3: Cross multiply
    8,482.62x = 12,730 × 6,284.72
  4. Step 4: Simplify right side
    8,482.62x = 80,004,485.60
  5. Step 5: Solve for x
    x = 80,004,485.60/8,482.62
  6. Step 6: Final answer
    x = 9,431.58

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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.