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Finding the Fourth Proportional to 31,578, 43,577.34 and 17,237.70

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Solution

The fourth proportional to 31,578, 43,577.34 and 17,237.70 is: 23,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578 : 43,577.34 = 17,237.70 : x
  2. Step 2: Convert to fraction form
    31,578/43,577.34 = 17,237.70/x
  3. Step 3: Cross multiply
    31,578x = 43,577.34 × 17,237.70
  4. Step 4: Simplify right side
    31,578x = 751,173,113.72
  5. Step 5: Solve for x
    x = 751,173,113.72/31,578
  6. Step 6: Final answer
    x = 23,787.86

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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.