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Finding the Fourth Proportional to 8,283.60, 12,417.30 and 7,408.80

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Solution

The fourth proportional to 8,283.60, 12,417.30 and 7,408.80 is: 11,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.60 : 12,417.30 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    8,283.60/12,417.30 = 7,408.80/x
  3. Step 3: Cross multiply
    8,283.60x = 12,417.30 × 7,408.80
  4. Step 4: Simplify right side
    8,283.60x = 91,997,292.24
  5. Step 5: Solve for x
    x = 91,997,292.24/8,283.60
  6. Step 6: Final answer
    x = 11,105.96

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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.