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Finding the Fourth Proportional to 18,210.24, 27,316 and 7,119.52

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Solution

The fourth proportional to 18,210.24, 27,316 and 7,119.52 is: 10,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,210.24 : 27,316 = 7,119.52 : x
  2. Step 2: Convert to fraction form
    18,210.24/27,316 = 7,119.52/x
  3. Step 3: Cross multiply
    18,210.24x = 27,316 × 7,119.52
  4. Step 4: Simplify right side
    18,210.24x = 194,476,808.32
  5. Step 5: Solve for x
    x = 194,476,808.32/18,210.24
  6. Step 6: Final answer
    x = 10,679.53

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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.