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Finding the Fourth Proportional to 22,582.30, 31,163.15 and 13,630.18

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Solution

The fourth proportional to 22,582.30, 31,163.15 and 13,630.18 is: 18,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.30 : 31,163.15 = 13,630.18 : x
  2. Step 2: Convert to fraction form
    22,582.30/31,163.15 = 13,630.18/x
  3. Step 3: Cross multiply
    22,582.30x = 31,163.15 × 13,630.18
  4. Step 4: Simplify right side
    22,582.30x = 424,759,343.87
  5. Step 5: Solve for x
    x = 424,759,343.87/22,582.30
  6. Step 6: Final answer
    x = 18,809.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.