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Finding the Fourth Proportional to 9,243, 13,864.50 and 3,087

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Solution

The fourth proportional to 9,243, 13,864.50 and 3,087 is: 4,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243 : 13,864.50 = 3,087 : x
  2. Step 2: Convert to fraction form
    9,243/13,864.50 = 3,087/x
  3. Step 3: Cross multiply
    9,243x = 13,864.50 × 3,087
  4. Step 4: Simplify right side
    9,243x = 42,799,711.50
  5. Step 5: Solve for x
    x = 42,799,711.50/9,243
  6. Step 6: Final answer
    x = 4,630.50

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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.