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Finding the Fourth Proportional to 23,168, 31,957.68 and 13,730.24

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Solution

The fourth proportional to 23,168, 31,957.68 and 13,730.24 is: 18,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,168 : 31,957.68 = 13,730.24 : x
  2. Step 2: Convert to fraction form
    23,168/31,957.68 = 13,730.24/x
  3. Step 3: Cross multiply
    23,168x = 31,957.68 × 13,730.24
  4. Step 4: Simplify right side
    23,168x = 438,786,616.24
  5. Step 5: Solve for x
    x = 438,786,616.24/23,168
  6. Step 6: Final answer
    x = 18,939.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.