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Finding the Fourth Proportional to 12,788.64, 17,648.64 and 7,200

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Solution

The fourth proportional to 12,788.64, 17,648.64 and 7,200 is: 9,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.64 : 17,648.64 = 7,200 : x
  2. Step 2: Convert to fraction form
    12,788.64/17,648.64 = 7,200/x
  3. Step 3: Cross multiply
    12,788.64x = 17,648.64 × 7,200
  4. Step 4: Simplify right side
    12,788.64x = 127,070,208
  5. Step 5: Solve for x
    x = 127,070,208/12,788.64
  6. Step 6: Final answer
    x = 9,936.18

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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.