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Finding the Fourth Proportional to 31,850.80, 43,953.16 and 17,702.80

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Solution

The fourth proportional to 31,850.80, 43,953.16 and 17,702.80 is: 24,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.80 : 43,953.16 = 17,702.80 : x
  2. Step 2: Convert to fraction form
    31,850.80/43,953.16 = 17,702.80/x
  3. Step 3: Cross multiply
    31,850.80x = 43,953.16 × 17,702.80
  4. Step 4: Simplify right side
    31,850.80x = 778,094,000.85
  5. Step 5: Solve for x
    x = 778,094,000.85/31,850.80
  6. Step 6: Final answer
    x = 24,429.34

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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.