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Finding the Fourth Proportional to 3,482.10, 5,223.15 and 3,117.60

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Solution

The fourth proportional to 3,482.10, 5,223.15 and 3,117.60 is: 4,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.10 : 5,223.15 = 3,117.60 : x
  2. Step 2: Convert to fraction form
    3,482.10/5,223.15 = 3,117.60/x
  3. Step 3: Cross multiply
    3,482.10x = 5,223.15 × 3,117.60
  4. Step 4: Simplify right side
    3,482.10x = 16,283,692.44
  5. Step 5: Solve for x
    x = 16,283,692.44/3,482.10
  6. Step 6: Final answer
    x = 4,676.40

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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.