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Finding the Fourth Proportional to 12,954, 17,875.80 and 7,647.60

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Solution

The fourth proportional to 12,954, 17,875.80 and 7,647.60 is: 10,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954 : 17,875.80 = 7,647.60 : x
  2. Step 2: Convert to fraction form
    12,954/17,875.80 = 7,647.60/x
  3. Step 3: Cross multiply
    12,954x = 17,875.80 × 7,647.60
  4. Step 4: Simplify right side
    12,954x = 136,706,968.08
  5. Step 5: Solve for x
    x = 136,706,968.08/12,954
  6. Step 6: Final answer
    x = 10,553.26

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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.