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Finding the Fourth Proportional to 12,636, 17,437.80 and 7,047.12

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Solution

The fourth proportional to 12,636, 17,437.80 and 7,047.12 is: 9,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 17,437.80 = 7,047.12 : x
  2. Step 2: Convert to fraction form
    12,636/17,437.80 = 7,047.12/x
  3. Step 3: Cross multiply
    12,636x = 17,437.80 × 7,047.12
  4. Step 4: Simplify right side
    12,636x = 122,886,269.14
  5. Step 5: Solve for x
    x = 122,886,269.14/12,636
  6. Step 6: Final answer
    x = 9,725.09

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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.