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Finding the Fourth Proportional to 8,300.54, 12,457.20 and 6,197.42

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Solution

The fourth proportional to 8,300.54, 12,457.20 and 6,197.42 is: 9,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.54 : 12,457.20 = 6,197.42 : x
  2. Step 2: Convert to fraction form
    8,300.54/12,457.20 = 6,197.42/x
  3. Step 3: Cross multiply
    8,300.54x = 12,457.20 × 6,197.42
  4. Step 4: Simplify right side
    8,300.54x = 77,202,500.42
  5. Step 5: Solve for x
    x = 77,202,500.42/8,300.54
  6. Step 6: Final answer
    x = 9,300.90

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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.