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Finding the Fourth Proportional to 8,529.40, 11,766.36 and 7,348.42

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Solution

The fourth proportional to 8,529.40, 11,766.36 and 7,348.42 is: 10,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.40 : 11,766.36 = 7,348.42 : x
  2. Step 2: Convert to fraction form
    8,529.40/11,766.36 = 7,348.42/x
  3. Step 3: Cross multiply
    8,529.40x = 11,766.36 × 7,348.42
  4. Step 4: Simplify right side
    8,529.40x = 86,464,155.15
  5. Step 5: Solve for x
    x = 86,464,155.15/8,529.40
  6. Step 6: Final answer
    x = 10,137.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.