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Finding the Fourth Proportional to 12,984.66, 19,472.94 and 4,217.76

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Solution

The fourth proportional to 12,984.66, 19,472.94 and 4,217.76 is: 6,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.66 : 19,472.94 = 4,217.76 : x
  2. Step 2: Convert to fraction form
    12,984.66/19,472.94 = 4,217.76/x
  3. Step 3: Cross multiply
    12,984.66x = 19,472.94 × 4,217.76
  4. Step 4: Simplify right side
    12,984.66x = 82,132,187.41
  5. Step 5: Solve for x
    x = 82,132,187.41/12,984.66
  6. Step 6: Final answer
    x = 6,325.32

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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.