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Finding the Fourth Proportional to 10,215, 15,322.50 and 3,289.50

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Solution

The fourth proportional to 10,215, 15,322.50 and 3,289.50 is: 4,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215 : 15,322.50 = 3,289.50 : x
  2. Step 2: Convert to fraction form
    10,215/15,322.50 = 3,289.50/x
  3. Step 3: Cross multiply
    10,215x = 15,322.50 × 3,289.50
  4. Step 4: Simplify right side
    10,215x = 50,403,363.75
  5. Step 5: Solve for x
    x = 50,403,363.75/10,215
  6. Step 6: Final answer
    x = 4,934.25

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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.