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Finding the Fourth Proportional to 12,864.64, 17,745.60 and 7,888

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Solution

The fourth proportional to 12,864.64, 17,745.60 and 7,888 is: 10,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.64 : 17,745.60 = 7,888 : x
  2. Step 2: Convert to fraction form
    12,864.64/17,745.60 = 7,888/x
  3. Step 3: Cross multiply
    12,864.64x = 17,745.60 × 7,888
  4. Step 4: Simplify right side
    12,864.64x = 139,977,292.80
  5. Step 5: Solve for x
    x = 139,977,292.80/12,864.64
  6. Step 6: Final answer
    x = 10,880.78

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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.