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Finding the Fourth Proportional to 8,271.99, 12,407.90 and 6,808.05

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Solution

The fourth proportional to 8,271.99, 12,407.90 and 6,808.05 is: 10,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.99 : 12,407.90 = 6,808.05 : x
  2. Step 2: Convert to fraction form
    8,271.99/12,407.90 = 6,808.05/x
  3. Step 3: Cross multiply
    8,271.99x = 12,407.90 × 6,808.05
  4. Step 4: Simplify right side
    8,271.99x = 84,473,569.55
  5. Step 5: Solve for x
    x = 84,473,569.55/8,271.99
  6. Step 6: Final answer
    x = 10,212.00

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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.