Home / 31,943.04-47,908.08-8,564

Finding the Fourth Proportional to 31,943.04, 47,908.08 and 8,564

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Solution

The fourth proportional to 31,943.04, 47,908.08 and 8,564 is: 12,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943.04 : 47,908.08 = 8,564 : x
  2. Step 2: Convert to fraction form
    31,943.04/47,908.08 = 8,564/x
  3. Step 3: Cross multiply
    31,943.04x = 47,908.08 × 8,564
  4. Step 4: Simplify right side
    31,943.04x = 410,284,797.12
  5. Step 5: Solve for x
    x = 410,284,797.12/31,943.04
  6. Step 6: Final answer
    x = 12,844.26

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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.