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Finding the Fourth Proportional to 12,842.58, 17,722.53 and 7,177.44

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Solution

The fourth proportional to 12,842.58, 17,722.53 and 7,177.44 is: 9,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.58 : 17,722.53 = 7,177.44 : x
  2. Step 2: Convert to fraction form
    12,842.58/17,722.53 = 7,177.44/x
  3. Step 3: Cross multiply
    12,842.58x = 17,722.53 × 7,177.44
  4. Step 4: Simplify right side
    12,842.58x = 127,202,395.72
  5. Step 5: Solve for x
    x = 127,202,395.72/12,842.58
  6. Step 6: Final answer
    x = 9,904.74

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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.