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Finding the Fourth Proportional to 13,705, 20,557.48 and 3,316.74

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Solution

The fourth proportional to 13,705, 20,557.48 and 3,316.74 is: 4,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705 : 20,557.48 = 3,316.74 : x
  2. Step 2: Convert to fraction form
    13,705/20,557.48 = 3,316.74/x
  3. Step 3: Cross multiply
    13,705x = 20,557.48 × 3,316.74
  4. Step 4: Simplify right side
    13,705x = 68,183,816.22
  5. Step 5: Solve for x
    x = 68,183,816.22/13,705
  6. Step 6: Final answer
    x = 4,975.11

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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.