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Finding the Fourth Proportional to 22,938.64, 31,657.76 and 12,868

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Solution

The fourth proportional to 22,938.64, 31,657.76 and 12,868 is: 17,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.64 : 31,657.76 = 12,868 : x
  2. Step 2: Convert to fraction form
    22,938.64/31,657.76 = 12,868/x
  3. Step 3: Cross multiply
    22,938.64x = 31,657.76 × 12,868
  4. Step 4: Simplify right side
    22,938.64x = 407,372,055.68
  5. Step 5: Solve for x
    x = 407,372,055.68/22,938.64
  6. Step 6: Final answer
    x = 17,759.21

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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.