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Finding the Fourth Proportional to 13,506, 20,258.91 and 3,646.28

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Solution

The fourth proportional to 13,506, 20,258.91 and 3,646.28 is: 5,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506 : 20,258.91 = 3,646.28 : x
  2. Step 2: Convert to fraction form
    13,506/20,258.91 = 3,646.28/x
  3. Step 3: Cross multiply
    13,506x = 20,258.91 × 3,646.28
  4. Step 4: Simplify right side
    13,506x = 73,869,557.06
  5. Step 5: Solve for x
    x = 73,869,557.06/13,506
  6. Step 6: Final answer
    x = 5,469.39

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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.