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Finding the Fourth Proportional to 18,598.60, 27,831.04 and 13,656

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Solution

The fourth proportional to 18,598.60, 27,831.04 and 13,656 is: 20,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.60 : 27,831.04 = 13,656 : x
  2. Step 2: Convert to fraction form
    18,598.60/27,831.04 = 13,656/x
  3. Step 3: Cross multiply
    18,598.60x = 27,831.04 × 13,656
  4. Step 4: Simplify right side
    18,598.60x = 380,060,682.24
  5. Step 5: Solve for x
    x = 380,060,682.24/18,598.60
  6. Step 6: Final answer
    x = 20,434.91

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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.