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Finding the Fourth Proportional to 13,730.79, 18,941.17 and 8,354.86

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Solution

The fourth proportional to 13,730.79, 18,941.17 and 8,354.86 is: 11,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.79 : 18,941.17 = 8,354.86 : x
  2. Step 2: Convert to fraction form
    13,730.79/18,941.17 = 8,354.86/x
  3. Step 3: Cross multiply
    13,730.79x = 18,941.17 × 8,354.86
  4. Step 4: Simplify right side
    13,730.79x = 158,250,823.59
  5. Step 5: Solve for x
    x = 158,250,823.59/13,730.79
  6. Step 6: Final answer
    x = 11,525.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.