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Finding the Fourth Proportional to 12,419.70, 18,580.95 and 8,045.70

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Solution

The fourth proportional to 12,419.70, 18,580.95 and 8,045.70 is: 12,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.70 : 18,580.95 = 8,045.70 : x
  2. Step 2: Convert to fraction form
    12,419.70/18,580.95 = 8,045.70/x
  3. Step 3: Cross multiply
    12,419.70x = 18,580.95 × 8,045.70
  4. Step 4: Simplify right side
    12,419.70x = 149,496,749.42
  5. Step 5: Solve for x
    x = 149,496,749.42/12,419.70
  6. Step 6: Final answer
    x = 12,037.07

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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.