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Finding the Fourth Proportional to 12,852, 17,736.84 and 7,264.08

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Solution

The fourth proportional to 12,852, 17,736.84 and 7,264.08 is: 10,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 17,736.84 = 7,264.08 : x
  2. Step 2: Convert to fraction form
    12,852/17,736.84 = 7,264.08/x
  3. Step 3: Cross multiply
    12,852x = 17,736.84 × 7,264.08
  4. Step 4: Simplify right side
    12,852x = 128,841,824.71
  5. Step 5: Solve for x
    x = 128,841,824.71/12,852
  6. Step 6: Final answer
    x = 10,025.04

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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.