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Finding the Fourth Proportional to 8,460.84, 12,692.50 and 2,617.91

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Solution

The fourth proportional to 8,460.84, 12,692.50 and 2,617.91 is: 3,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.84 : 12,692.50 = 2,617.91 : x
  2. Step 2: Convert to fraction form
    8,460.84/12,692.50 = 2,617.91/x
  3. Step 3: Cross multiply
    8,460.84x = 12,692.50 × 2,617.91
  4. Step 4: Simplify right side
    8,460.84x = 33,227,746.12
  5. Step 5: Solve for x
    x = 33,227,746.12/8,460.84
  6. Step 6: Final answer
    x = 3,927.24

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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.