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Finding the Fourth Proportional to 19,659.60, 27,129 and 11,162.16

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Solution

The fourth proportional to 19,659.60, 27,129 and 11,162.16 is: 15,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.60 : 27,129 = 11,162.16 : x
  2. Step 2: Convert to fraction form
    19,659.60/27,129 = 11,162.16/x
  3. Step 3: Cross multiply
    19,659.60x = 27,129 × 11,162.16
  4. Step 4: Simplify right side
    19,659.60x = 302,818,238.64
  5. Step 5: Solve for x
    x = 302,818,238.64/19,659.60
  6. Step 6: Final answer
    x = 15,403.07

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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.