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Finding the Fourth Proportional to 31,438.48, 43,384.64 and 17,290.48

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Solution

The fourth proportional to 31,438.48, 43,384.64 and 17,290.48 is: 23,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.48 : 43,384.64 = 17,290.48 : x
  2. Step 2: Convert to fraction form
    31,438.48/43,384.64 = 17,290.48/x
  3. Step 3: Cross multiply
    31,438.48x = 43,384.64 × 17,290.48
  4. Step 4: Simplify right side
    31,438.48x = 750,141,250.23
  5. Step 5: Solve for x
    x = 750,141,250.23/31,438.48
  6. Step 6: Final answer
    x = 23,860.61

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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.