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Finding the Fourth Proportional to 18,585.25, 27,878.74 and 5,259.25

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Solution

The fourth proportional to 18,585.25, 27,878.74 and 5,259.25 is: 7,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585.25 : 27,878.74 = 5,259.25 : x
  2. Step 2: Convert to fraction form
    18,585.25/27,878.74 = 5,259.25/x
  3. Step 3: Cross multiply
    18,585.25x = 27,878.74 × 5,259.25
  4. Step 4: Simplify right side
    18,585.25x = 146,621,263.35
  5. Step 5: Solve for x
    x = 146,621,263.35/18,585.25
  6. Step 6: Final answer
    x = 7,889.12

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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.