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Finding the Fourth Proportional to 18,557, 27,838.08 and 5,410.32

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Solution

The fourth proportional to 18,557, 27,838.08 and 5,410.32 is: 8,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557 : 27,838.08 = 5,410.32 : x
  2. Step 2: Convert to fraction form
    18,557/27,838.08 = 5,410.32/x
  3. Step 3: Cross multiply
    18,557x = 27,838.08 × 5,410.32
  4. Step 4: Simplify right side
    18,557x = 150,612,920.99
  5. Step 5: Solve for x
    x = 150,612,920.99/18,557
  6. Step 6: Final answer
    x = 8,116.23

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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.