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Finding the Fourth Proportional to 8,709.60, 13,040.10 and 7,834.80

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Solution

The fourth proportional to 8,709.60, 13,040.10 and 7,834.80 is: 11,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.60 : 13,040.10 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    8,709.60/13,040.10 = 7,834.80/x
  3. Step 3: Cross multiply
    8,709.60x = 13,040.10 × 7,834.80
  4. Step 4: Simplify right side
    8,709.60x = 102,166,575.48
  5. Step 5: Solve for x
    x = 102,166,575.48/8,709.60
  6. Step 6: Final answer
    x = 11,730.34

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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.