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Finding the Fourth Proportional to 12,691.84, 19,037.84 and 3,457.92

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Solution

The fourth proportional to 12,691.84, 19,037.84 and 3,457.92 is: 5,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.84 : 19,037.84 = 3,457.92 : x
  2. Step 2: Convert to fraction form
    12,691.84/19,037.84 = 3,457.92/x
  3. Step 3: Cross multiply
    12,691.84x = 19,037.84 × 3,457.92
  4. Step 4: Simplify right side
    12,691.84x = 65,831,327.69
  5. Step 5: Solve for x
    x = 65,831,327.69/12,691.84
  6. Step 6: Final answer
    x = 5,186.90

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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.