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Finding the Fourth Proportional to 12,842, 17,722.16 and 7,253.04

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Solution

The fourth proportional to 12,842, 17,722.16 and 7,253.04 is: 10,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 17,722.16 = 7,253.04 : x
  2. Step 2: Convert to fraction form
    12,842/17,722.16 = 7,253.04/x
  3. Step 3: Cross multiply
    12,842x = 17,722.16 × 7,253.04
  4. Step 4: Simplify right side
    12,842x = 128,539,535.37
  5. Step 5: Solve for x
    x = 128,539,535.37/12,842
  6. Step 6: Final answer
    x = 10,009.31

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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.