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Finding the Fourth Proportional to 8,300.40, 12,457.40 and 8,235.60

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Solution

The fourth proportional to 8,300.40, 12,457.40 and 8,235.60 is: 12,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.40 : 12,457.40 = 8,235.60 : x
  2. Step 2: Convert to fraction form
    8,300.40/12,457.40 = 8,235.60/x
  3. Step 3: Cross multiply
    8,300.40x = 12,457.40 × 8,235.60
  4. Step 4: Simplify right side
    8,300.40x = 102,594,163.44
  5. Step 5: Solve for x
    x = 102,594,163.44/8,300.40
  6. Step 6: Final answer
    x = 12,360.15

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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.