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Finding the Fourth Proportional to 18,578, 27,864.76 and 4,727.12

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Solution

The fourth proportional to 18,578, 27,864.76 and 4,727.12 is: 7,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578 : 27,864.76 = 4,727.12 : x
  2. Step 2: Convert to fraction form
    18,578/27,864.76 = 4,727.12/x
  3. Step 3: Cross multiply
    18,578x = 27,864.76 × 4,727.12
  4. Step 4: Simplify right side
    18,578x = 131,720,064.29
  5. Step 5: Solve for x
    x = 131,720,064.29/18,578
  6. Step 6: Final answer
    x = 7,090.11

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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.