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Finding the Fourth Proportional to 13,880.11, 20,820.16 and 4,646.11

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Solution

The fourth proportional to 13,880.11, 20,820.16 and 4,646.11 is: 6,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.11 : 20,820.16 = 4,646.11 : x
  2. Step 2: Convert to fraction form
    13,880.11/20,820.16 = 4,646.11/x
  3. Step 3: Cross multiply
    13,880.11x = 20,820.16 × 4,646.11
  4. Step 4: Simplify right side
    13,880.11x = 96,732,759.44
  5. Step 5: Solve for x
    x = 96,732,759.44/13,880.11
  6. Step 6: Final answer
    x = 6,969.16

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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.