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Finding the Fourth Proportional to 12,646.90, 17,429.45 and 10,137.31

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Solution

The fourth proportional to 12,646.90, 17,429.45 and 10,137.31 is: 13,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.90 : 17,429.45 = 10,137.31 : x
  2. Step 2: Convert to fraction form
    12,646.90/17,429.45 = 10,137.31/x
  3. Step 3: Cross multiply
    12,646.90x = 17,429.45 × 10,137.31
  4. Step 4: Simplify right side
    12,646.90x = 176,687,687.09
  5. Step 5: Solve for x
    x = 176,687,687.09/12,646.90
  6. Step 6: Final answer
    x = 13,970.83

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