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Finding the Fourth Proportional to 27,142, 40,709.76 and 11,564.08

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Solution

The fourth proportional to 27,142, 40,709.76 and 11,564.08 is: 17,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142 : 40,709.76 = 11,564.08 : x
  2. Step 2: Convert to fraction form
    27,142/40,709.76 = 11,564.08/x
  3. Step 3: Cross multiply
    27,142x = 40,709.76 × 11,564.08
  4. Step 4: Simplify right side
    27,142x = 470,770,921.42
  5. Step 5: Solve for x
    x = 470,770,921.42/27,142
  6. Step 6: Final answer
    x = 17,344.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.