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Finding the Fourth Proportional to 13,876.76, 20,820.35 and 8,334.08

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Solution

The fourth proportional to 13,876.76, 20,820.35 and 8,334.08 is: 12,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.76 : 20,820.35 = 8,334.08 : x
  2. Step 2: Convert to fraction form
    13,876.76/20,820.35 = 8,334.08/x
  3. Step 3: Cross multiply
    13,876.76x = 20,820.35 × 8,334.08
  4. Step 4: Simplify right side
    13,876.76x = 173,518,316.76
  5. Step 5: Solve for x
    x = 173,518,316.76/13,876.76
  6. Step 6: Final answer
    x = 12,504.24

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1.5x scale

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.