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Finding the Fourth Proportional to 18,309, 27,463.50 and 7,365

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Solution

The fourth proportional to 18,309, 27,463.50 and 7,365 is: 11,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309 : 27,463.50 = 7,365 : x
  2. Step 2: Convert to fraction form
    18,309/27,463.50 = 7,365/x
  3. Step 3: Cross multiply
    18,309x = 27,463.50 × 7,365
  4. Step 4: Simplify right side
    18,309x = 202,268,677.50
  5. Step 5: Solve for x
    x = 202,268,677.50/18,309
  6. Step 6: Final answer
    x = 11,047.50

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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.