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Finding the Fourth Proportional to 13,720.40, 18,921.16 and 9,968.40

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Solution

The fourth proportional to 13,720.40, 18,921.16 and 9,968.40 is: 13,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.40 : 18,921.16 = 9,968.40 : x
  2. Step 2: Convert to fraction form
    13,720.40/18,921.16 = 9,968.40/x
  3. Step 3: Cross multiply
    13,720.40x = 18,921.16 × 9,968.40
  4. Step 4: Simplify right side
    13,720.40x = 188,613,691.34
  5. Step 5: Solve for x
    x = 188,613,691.34/13,720.40
  6. Step 6: Final answer
    x = 13,746.95

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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.