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Finding the Fourth Proportional to 13,407, 20,111.58 and 4,173

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Solution

The fourth proportional to 13,407, 20,111.58 and 4,173 is: 6,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407 : 20,111.58 = 4,173 : x
  2. Step 2: Convert to fraction form
    13,407/20,111.58 = 4,173/x
  3. Step 3: Cross multiply
    13,407x = 20,111.58 × 4,173
  4. Step 4: Simplify right side
    13,407x = 83,925,623.34
  5. Step 5: Solve for x
    x = 83,925,623.34/13,407
  6. Step 6: Final answer
    x = 6,259.84

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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.