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Finding the Fourth Proportional to 8,465.76, 12,706.85 and 4,086.30

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Solution

The fourth proportional to 8,465.76, 12,706.85 and 4,086.30 is: 6,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.76 : 12,706.85 = 4,086.30 : x
  2. Step 2: Convert to fraction form
    8,465.76/12,706.85 = 4,086.30/x
  3. Step 3: Cross multiply
    8,465.76x = 12,706.85 × 4,086.30
  4. Step 4: Simplify right side
    8,465.76x = 51,923,980.72
  5. Step 5: Solve for x
    x = 51,923,980.72/8,465.76
  6. Step 6: Final answer
    x = 6,133.41

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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.