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Finding the Fourth Proportional to 31,530.65, 43,512.60 and 17,384.00

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Solution

The fourth proportional to 31,530.65, 43,512.60 and 17,384.00 is: 23,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.65 : 43,512.60 = 17,384.00 : x
  2. Step 2: Convert to fraction form
    31,530.65/43,512.60 = 17,384.00/x
  3. Step 3: Cross multiply
    31,530.65x = 43,512.60 × 17,384.00
  4. Step 4: Simplify right side
    31,530.65x = 756,422,820.84
  5. Step 5: Solve for x
    x = 756,422,820.84/31,530.65
  6. Step 6: Final answer
    x = 23,990.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.