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Finding the Fourth Proportional to 8,198.08, 12,280.80 and 7,526.08

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Solution

The fourth proportional to 8,198.08, 12,280.80 and 7,526.08 is: 11,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.08 : 12,280.80 = 7,526.08 : x
  2. Step 2: Convert to fraction form
    8,198.08/12,280.80 = 7,526.08/x
  3. Step 3: Cross multiply
    8,198.08x = 12,280.80 × 7,526.08
  4. Step 4: Simplify right side
    8,198.08x = 92,426,283.26
  5. Step 5: Solve for x
    x = 92,426,283.26/8,198.08
  6. Step 6: Final answer
    x = 11,274.14

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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.