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Finding the Fourth Proportional to 13,887, 20,831.58 and 4,653

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Solution

The fourth proportional to 13,887, 20,831.58 and 4,653 is: 6,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 20,831.58 = 4,653 : x
  2. Step 2: Convert to fraction form
    13,887/20,831.58 = 4,653/x
  3. Step 3: Cross multiply
    13,887x = 20,831.58 × 4,653
  4. Step 4: Simplify right side
    13,887x = 96,929,341.74
  5. Step 5: Solve for x
    x = 96,929,341.74/13,887
  6. Step 6: Final answer
    x = 6,979.86

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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.