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Finding the Fourth Proportional to 8,308.40, 12,467.40 and 3,114.80

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Solution

The fourth proportional to 8,308.40, 12,467.40 and 3,114.80 is: 4,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.40 : 12,467.40 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    8,308.40/12,467.40 = 3,114.80/x
  3. Step 3: Cross multiply
    8,308.40x = 12,467.40 × 3,114.80
  4. Step 4: Simplify right side
    8,308.40x = 38,833,457.52
  5. Step 5: Solve for x
    x = 38,833,457.52/8,308.40
  6. Step 6: Final answer
    x = 4,674.00

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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.