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Finding the Fourth Proportional to 12,842.64, 17,697.96 and 9,110.16

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Solution

The fourth proportional to 12,842.64, 17,697.96 and 9,110.16 is: 12,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.64 : 17,697.96 = 9,110.16 : x
  2. Step 2: Convert to fraction form
    12,842.64/17,697.96 = 9,110.16/x
  3. Step 3: Cross multiply
    12,842.64x = 17,697.96 × 9,110.16
  4. Step 4: Simplify right side
    12,842.64x = 161,231,247.27
  5. Step 5: Solve for x
    x = 161,231,247.27/12,842.64
  6. Step 6: Final answer
    x = 12,554.37

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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.