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Finding the Fourth Proportional to 8,461.64, 12,692.46 and 2,618.30

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Solution

The fourth proportional to 8,461.64, 12,692.46 and 2,618.30 is: 3,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.64 : 12,692.46 = 2,618.30 : x
  2. Step 2: Convert to fraction form
    8,461.64/12,692.46 = 2,618.30/x
  3. Step 3: Cross multiply
    8,461.64x = 12,692.46 × 2,618.30
  4. Step 4: Simplify right side
    8,461.64x = 33,232,668.02
  5. Step 5: Solve for x
    x = 33,232,668.02/8,461.64
  6. Step 6: Final answer
    x = 3,927.45

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1.5x scale

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.