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Finding the Fourth Proportional to 31,395.40, 47,169.90 and 23,619.40

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Solution

The fourth proportional to 31,395.40, 47,169.90 and 23,619.40 is: 35,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.40 : 47,169.90 = 23,619.40 : x
  2. Step 2: Convert to fraction form
    31,395.40/47,169.90 = 23,619.40/x
  3. Step 3: Cross multiply
    31,395.40x = 47,169.90 × 23,619.40
  4. Step 4: Simplify right side
    31,395.40x = 1,114,124,736.06
  5. Step 5: Solve for x
    x = 1,114,124,736.06/31,395.40
  6. Step 6: Final answer
    x = 35,486.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.