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Finding the Fourth Proportional to 12,852.54, 17,736.84 and 7,187.10

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Solution

The fourth proportional to 12,852.54, 17,736.84 and 7,187.10 is: 9,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.54 : 17,736.84 = 7,187.10 : x
  2. Step 2: Convert to fraction form
    12,852.54/17,736.84 = 7,187.10/x
  3. Step 3: Cross multiply
    12,852.54x = 17,736.84 × 7,187.10
  4. Step 4: Simplify right side
    12,852.54x = 127,476,442.76
  5. Step 5: Solve for x
    x = 127,476,442.76/12,852.54
  6. Step 6: Final answer
    x = 9,918.39

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1.5x scale

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.