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Finding the Fourth Proportional to 18,384.68, 27,588 and 6,698.72

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Solution

The fourth proportional to 18,384.68, 27,588 and 6,698.72 is: 10,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.68 : 27,588 = 6,698.72 : x
  2. Step 2: Convert to fraction form
    18,384.68/27,588 = 6,698.72/x
  3. Step 3: Cross multiply
    18,384.68x = 27,588 × 6,698.72
  4. Step 4: Simplify right side
    18,384.68x = 184,804,287.36
  5. Step 5: Solve for x
    x = 184,804,287.36/18,384.68
  6. Step 6: Final answer
    x = 10,052.08

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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.