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Finding the Fourth Proportional to 31,855, 47,792.58 and 14,326.36

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Solution

The fourth proportional to 31,855, 47,792.58 and 14,326.36 is: 21,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855 : 47,792.58 = 14,326.36 : x
  2. Step 2: Convert to fraction form
    31,855/47,792.58 = 14,326.36/x
  3. Step 3: Cross multiply
    31,855x = 47,792.58 × 14,326.36
  4. Step 4: Simplify right side
    31,855x = 684,693,706.41
  5. Step 5: Solve for x
    x = 684,693,706.41/31,855
  6. Step 6: Final answer
    x = 21,494.07

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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.