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Finding the Fourth Proportional to 31,203.68, 43,068.81 and 17,782.89

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Solution

The fourth proportional to 31,203.68, 43,068.81 and 17,782.89 is: 24,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.68 : 43,068.81 = 17,782.89 : x
  2. Step 2: Convert to fraction form
    31,203.68/43,068.81 = 17,782.89/x
  3. Step 3: Cross multiply
    31,203.68x = 43,068.81 × 17,782.89
  4. Step 4: Simplify right side
    31,203.68x = 765,887,910.66
  5. Step 5: Solve for x
    x = 765,887,910.66/31,203.68
  6. Step 6: Final answer
    x = 24,544.80

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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.