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Finding the Fourth Proportional to 18,553, 27,831.12 and 4,702

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Solution

The fourth proportional to 18,553, 27,831.12 and 4,702 is: 7,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553 : 27,831.12 = 4,702 : x
  2. Step 2: Convert to fraction form
    18,553/27,831.12 = 4,702/x
  3. Step 3: Cross multiply
    18,553x = 27,831.12 × 4,702
  4. Step 4: Simplify right side
    18,553x = 130,861,926.24
  5. Step 5: Solve for x
    x = 130,861,926.24/18,553
  6. Step 6: Final answer
    x = 7,053.41

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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.