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Finding the Fourth Proportional to 8,284.80, 12,412.80 and 6,988.80

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Solution

The fourth proportional to 8,284.80, 12,412.80 and 6,988.80 is: 10,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.80 : 12,412.80 = 6,988.80 : x
  2. Step 2: Convert to fraction form
    8,284.80/12,412.80 = 6,988.80/x
  3. Step 3: Cross multiply
    8,284.80x = 12,412.80 × 6,988.80
  4. Step 4: Simplify right side
    8,284.80x = 86,750,576.64
  5. Step 5: Solve for x
    x = 86,750,576.64/8,284.80
  6. Step 6: Final answer
    x = 10,471.05

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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.