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Finding the Fourth Proportional to 22,699.59, 31,321.80 and 12,628

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Solution

The fourth proportional to 22,699.59, 31,321.80 and 12,628 is: 17,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.59 : 31,321.80 = 12,628 : x
  2. Step 2: Convert to fraction form
    22,699.59/31,321.80 = 12,628/x
  3. Step 3: Cross multiply
    22,699.59x = 31,321.80 × 12,628
  4. Step 4: Simplify right side
    22,699.59x = 395,531,690.40
  5. Step 5: Solve for x
    x = 395,531,690.40/22,699.59
  6. Step 6: Final answer
    x = 17,424.62

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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.