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Finding the Fourth Proportional to 31,646, 43,671.16 and 17,498.16

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Solution

The fourth proportional to 31,646, 43,671.16 and 17,498.16 is: 24,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646 : 43,671.16 = 17,498.16 : x
  2. Step 2: Convert to fraction form
    31,646/43,671.16 = 17,498.16/x
  3. Step 3: Cross multiply
    31,646x = 43,671.16 × 17,498.16
  4. Step 4: Simplify right side
    31,646x = 764,164,945.07
  5. Step 5: Solve for x
    x = 764,164,945.07/31,646
  6. Step 6: Final answer
    x = 24,147.28

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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.