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Finding the Fourth Proportional to 12,842.64, 17,722.89 and 7,177.68

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Solution

The fourth proportional to 12,842.64, 17,722.89 and 7,177.68 is: 9,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.64 : 17,722.89 = 7,177.68 : x
  2. Step 2: Convert to fraction form
    12,842.64/17,722.89 = 7,177.68/x
  3. Step 3: Cross multiply
    12,842.64x = 17,722.89 × 7,177.68
  4. Step 4: Simplify right side
    12,842.64x = 127,209,233.10
  5. Step 5: Solve for x
    x = 127,209,233.10/12,842.64
  6. Step 6: Final answer
    x = 9,905.22

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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.