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Finding the Fourth Proportional to 13,957.16, 20,929.72 and 5,185.64

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Solution

The fourth proportional to 13,957.16, 20,929.72 and 5,185.64 is: 7,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.16 : 20,929.72 = 5,185.64 : x
  2. Step 2: Convert to fraction form
    13,957.16/20,929.72 = 5,185.64/x
  3. Step 3: Cross multiply
    13,957.16x = 20,929.72 × 5,185.64
  4. Step 4: Simplify right side
    13,957.16x = 108,533,993.22
  5. Step 5: Solve for x
    x = 108,533,993.22/13,957.16
  6. Step 6: Final answer
    x = 7,776.22

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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.