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Finding the Fourth Proportional to 8,146.82, 12,219.14 and 2,303.94

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Solution

The fourth proportional to 8,146.82, 12,219.14 and 2,303.94 is: 3,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.82 : 12,219.14 = 2,303.94 : x
  2. Step 2: Convert to fraction form
    8,146.82/12,219.14 = 2,303.94/x
  3. Step 3: Cross multiply
    8,146.82x = 12,219.14 × 2,303.94
  4. Step 4: Simplify right side
    8,146.82x = 28,152,165.41
  5. Step 5: Solve for x
    x = 28,152,165.41/8,146.82
  6. Step 6: Final answer
    x = 3,455.60

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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.