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Finding the Fourth Proportional to 8,671.63, 11,966.87 and 4,692.78

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Solution

The fourth proportional to 8,671.63, 11,966.87 and 4,692.78 is: 6,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.63 : 11,966.87 = 4,692.78 : x
  2. Step 2: Convert to fraction form
    8,671.63/11,966.87 = 4,692.78/x
  3. Step 3: Cross multiply
    8,671.63x = 11,966.87 × 4,692.78
  4. Step 4: Simplify right side
    8,671.63x = 56,157,888.20
  5. Step 5: Solve for x
    x = 56,157,888.20/8,671.63
  6. Step 6: Final answer
    x = 6,476.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.