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Finding the Fourth Proportional to 18,362.60, 27,545.04 and 5,216

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Solution

The fourth proportional to 18,362.60, 27,545.04 and 5,216 is: 7,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362.60 : 27,545.04 = 5,216 : x
  2. Step 2: Convert to fraction form
    18,362.60/27,545.04 = 5,216/x
  3. Step 3: Cross multiply
    18,362.60x = 27,545.04 × 5,216
  4. Step 4: Simplify right side
    18,362.60x = 143,674,928.64
  5. Step 5: Solve for x
    x = 143,674,928.64/18,362.60
  6. Step 6: Final answer
    x = 7,824.32

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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.