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Finding the Fourth Proportional to 6,461.88, 9,692.88 and 4,155

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Solution

The fourth proportional to 6,461.88, 9,692.88 and 4,155 is: 6,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.88 : 9,692.88 = 4,155 : x
  2. Step 2: Convert to fraction form
    6,461.88/9,692.88 = 4,155/x
  3. Step 3: Cross multiply
    6,461.88x = 9,692.88 × 4,155
  4. Step 4: Simplify right side
    6,461.88x = 40,273,916.40
  5. Step 5: Solve for x
    x = 40,273,916.40/6,461.88
  6. Step 6: Final answer
    x = 6,232.54

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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.