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Finding the Fourth Proportional to 10,466.80, 15,692.20 and 5,276.40

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Solution

The fourth proportional to 10,466.80, 15,692.20 and 5,276.40 is: 7,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.80 : 15,692.20 = 5,276.40 : x
  2. Step 2: Convert to fraction form
    10,466.80/15,692.20 = 5,276.40/x
  3. Step 3: Cross multiply
    10,466.80x = 15,692.20 × 5,276.40
  4. Step 4: Simplify right side
    10,466.80x = 82,798,324.08
  5. Step 5: Solve for x
    x = 82,798,324.08/10,466.80
  6. Step 6: Final answer
    x = 7,910.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.