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Finding the Fourth Proportional to 10,911, 16,366.50 and 4,755

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Solution

The fourth proportional to 10,911, 16,366.50 and 4,755 is: 7,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911 : 16,366.50 = 4,755 : x
  2. Step 2: Convert to fraction form
    10,911/16,366.50 = 4,755/x
  3. Step 3: Cross multiply
    10,911x = 16,366.50 × 4,755
  4. Step 4: Simplify right side
    10,911x = 77,822,707.50
  5. Step 5: Solve for x
    x = 77,822,707.50/10,911
  6. Step 6: Final answer
    x = 7,132.50

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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.