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Finding the Fourth Proportional to 18,201, 27,301.65 and 5,054.40

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Solution

The fourth proportional to 18,201, 27,301.65 and 5,054.40 is: 7,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201 : 27,301.65 = 5,054.40 : x
  2. Step 2: Convert to fraction form
    18,201/27,301.65 = 5,054.40/x
  3. Step 3: Cross multiply
    18,201x = 27,301.65 × 5,054.40
  4. Step 4: Simplify right side
    18,201x = 137,993,459.76
  5. Step 5: Solve for x
    x = 137,993,459.76/18,201
  6. Step 6: Final answer
    x = 7,581.64

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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.