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Finding the Fourth Proportional to 12,920.24, 17,828.41 and 7,253.75

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Solution

The fourth proportional to 12,920.24, 17,828.41 and 7,253.75 is: 10,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.24 : 17,828.41 = 7,253.75 : x
  2. Step 2: Convert to fraction form
    12,920.24/17,828.41 = 7,253.75/x
  3. Step 3: Cross multiply
    12,920.24x = 17,828.41 × 7,253.75
  4. Step 4: Simplify right side
    12,920.24x = 129,322,829.04
  5. Step 5: Solve for x
    x = 129,322,829.04/12,920.24
  6. Step 6: Final answer
    x = 10,009.32

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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.