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Finding the Fourth Proportional to 8,702.46, 12,015.50 and 7,686.41

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Solution

The fourth proportional to 8,702.46, 12,015.50 and 7,686.41 is: 10,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.46 : 12,015.50 = 7,686.41 : x
  2. Step 2: Convert to fraction form
    8,702.46/12,015.50 = 7,686.41/x
  3. Step 3: Cross multiply
    8,702.46x = 12,015.50 × 7,686.41
  4. Step 4: Simplify right side
    8,702.46x = 92,355,960.85
  5. Step 5: Solve for x
    x = 92,355,960.85/8,702.46
  6. Step 6: Final answer
    x = 10,612.63

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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.