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Finding the Fourth Proportional to 13,430, 20,146.08 and 4,196

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Solution

The fourth proportional to 13,430, 20,146.08 and 4,196 is: 6,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430 : 20,146.08 = 4,196 : x
  2. Step 2: Convert to fraction form
    13,430/20,146.08 = 4,196/x
  3. Step 3: Cross multiply
    13,430x = 20,146.08 × 4,196
  4. Step 4: Simplify right side
    13,430x = 84,532,951.68
  5. Step 5: Solve for x
    x = 84,532,951.68/13,430
  6. Step 6: Final answer
    x = 6,294.34

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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.