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Finding the Fourth Proportional to 12,636, 17,437.68 and 7,047

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Solution

The fourth proportional to 12,636, 17,437.68 and 7,047 is: 9,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 17,437.68 = 7,047 : x
  2. Step 2: Convert to fraction form
    12,636/17,437.68 = 7,047/x
  3. Step 3: Cross multiply
    12,636x = 17,437.68 × 7,047
  4. Step 4: Simplify right side
    12,636x = 122,883,330.96
  5. Step 5: Solve for x
    x = 122,883,330.96/12,636
  6. Step 6: Final answer
    x = 9,724.86

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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.