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Finding the Fourth Proportional to 31,807.80, 47,733.30 and 17,767.80

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Solution

The fourth proportional to 31,807.80, 47,733.30 and 17,767.80 is: 26,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.80 : 47,733.30 = 17,767.80 : x
  2. Step 2: Convert to fraction form
    31,807.80/47,733.30 = 17,767.80/x
  3. Step 3: Cross multiply
    31,807.80x = 47,733.30 × 17,767.80
  4. Step 4: Simplify right side
    31,807.80x = 848,115,727.74
  5. Step 5: Solve for x
    x = 848,115,727.74/31,807.80
  6. Step 6: Final answer
    x = 26,663.77

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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.