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Finding the Fourth Proportional to 31,563.80, 47,345.70 and 15,979.40

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Solution

The fourth proportional to 31,563.80, 47,345.70 and 15,979.40 is: 23,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.80 : 47,345.70 = 15,979.40 : x
  2. Step 2: Convert to fraction form
    31,563.80/47,345.70 = 15,979.40/x
  3. Step 3: Cross multiply
    31,563.80x = 47,345.70 × 15,979.40
  4. Step 4: Simplify right side
    31,563.80x = 756,555,878.58
  5. Step 5: Solve for x
    x = 756,555,878.58/31,563.80
  6. Step 6: Final answer
    x = 23,969.10

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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.