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Finding the Fourth Proportional to 8,977.50, 13,466.25 and 2,821.50

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Solution

The fourth proportional to 8,977.50, 13,466.25 and 2,821.50 is: 4,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.50 : 13,466.25 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    8,977.50/13,466.25 = 2,821.50/x
  3. Step 3: Cross multiply
    8,977.50x = 13,466.25 × 2,821.50
  4. Step 4: Simplify right side
    8,977.50x = 37,995,024.38
  5. Step 5: Solve for x
    x = 37,995,024.38/8,977.50
  6. Step 6: Final answer
    x = 4,232.25

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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.