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Finding the Fourth Proportional to 12,409.51, 17,129.11 and 7,945.28

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Solution

The fourth proportional to 12,409.51, 17,129.11 and 7,945.28 is: 10,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.51 : 17,129.11 = 7,945.28 : x
  2. Step 2: Convert to fraction form
    12,409.51/17,129.11 = 7,945.28/x
  3. Step 3: Cross multiply
    12,409.51x = 17,129.11 × 7,945.28
  4. Step 4: Simplify right side
    12,409.51x = 136,095,575.10
  5. Step 5: Solve for x
    x = 136,095,575.10/12,409.51
  6. Step 6: Final answer
    x = 10,967.04

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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.