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Finding the Fourth Proportional to 8,692.31, 13,038.44 and 6,106.79

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Solution

The fourth proportional to 8,692.31, 13,038.44 and 6,106.79 is: 9,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.31 : 13,038.44 = 6,106.79 : x
  2. Step 2: Convert to fraction form
    8,692.31/13,038.44 = 6,106.79/x
  3. Step 3: Cross multiply
    8,692.31x = 13,038.44 × 6,106.79
  4. Step 4: Simplify right side
    8,692.31x = 79,622,919.28
  5. Step 5: Solve for x
    x = 79,622,919.28/8,692.31
  6. Step 6: Final answer
    x = 9,160.16

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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.