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Finding the Fourth Proportional to 22,954.64, 31,680.64 and 13,397.68

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Solution

The fourth proportional to 22,954.64, 31,680.64 and 13,397.68 is: 18,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.64 : 31,680.64 = 13,397.68 : x
  2. Step 2: Convert to fraction form
    22,954.64/31,680.64 = 13,397.68/x
  3. Step 3: Cross multiply
    22,954.64x = 31,680.64 × 13,397.68
  4. Step 4: Simplify right side
    22,954.64x = 424,447,076.92
  5. Step 5: Solve for x
    x = 424,447,076.92/22,954.64
  6. Step 6: Final answer
    x = 18,490.69

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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.