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Finding the Fourth Proportional to 12,842.57, 17,722.64 and 9,019.58

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Solution

The fourth proportional to 12,842.57, 17,722.64 and 9,019.58 is: 12,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.57 : 17,722.64 = 9,019.58 : x
  2. Step 2: Convert to fraction form
    12,842.57/17,722.64 = 9,019.58/x
  3. Step 3: Cross multiply
    12,842.57x = 17,722.64 × 9,019.58
  4. Step 4: Simplify right side
    12,842.57x = 159,850,635.58
  5. Step 5: Solve for x
    x = 159,850,635.58/12,842.57
  6. Step 6: Final answer
    x = 12,446.94

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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.