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Finding the Fourth Proportional to 27,118.64, 40,678 and 7,397.20

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Solution

The fourth proportional to 27,118.64, 40,678 and 7,397.20 is: 11,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118.64 : 40,678 = 7,397.20 : x
  2. Step 2: Convert to fraction form
    27,118.64/40,678 = 7,397.20/x
  3. Step 3: Cross multiply
    27,118.64x = 40,678 × 7,397.20
  4. Step 4: Simplify right side
    27,118.64x = 300,903,301.60
  5. Step 5: Solve for x
    x = 300,903,301.60/27,118.64
  6. Step 6: Final answer
    x = 11,095.81

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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.