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Finding the Fourth Proportional to 18,510, 27,762.96 and 4,659

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Solution

The fourth proportional to 18,510, 27,762.96 and 4,659 is: 6,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,510 : 27,762.96 = 4,659 : x
  2. Step 2: Convert to fraction form
    18,510/27,762.96 = 4,659/x
  3. Step 3: Cross multiply
    18,510x = 27,762.96 × 4,659
  4. Step 4: Simplify right side
    18,510x = 129,347,630.64
  5. Step 5: Solve for x
    x = 129,347,630.64/18,510
  6. Step 6: Final answer
    x = 6,987.99

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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.