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Finding the Fourth Proportional to 12,705.84, 19,063.98 and 5,311.86

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Solution

The fourth proportional to 12,705.84, 19,063.98 and 5,311.86 is: 7,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.84 : 19,063.98 = 5,311.86 : x
  2. Step 2: Convert to fraction form
    12,705.84/19,063.98 = 5,311.86/x
  3. Step 3: Cross multiply
    12,705.84x = 19,063.98 × 5,311.86
  4. Step 4: Simplify right side
    12,705.84x = 101,265,192.80
  5. Step 5: Solve for x
    x = 101,265,192.80/12,705.84
  6. Step 6: Final answer
    x = 7,969.97

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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.