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Finding the Fourth Proportional to 5,475.98, 8,209.23 and 4,648.45

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Solution

The fourth proportional to 5,475.98, 8,209.23 and 4,648.45 is: 6,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.98 : 8,209.23 = 4,648.45 : x
  2. Step 2: Convert to fraction form
    5,475.98/8,209.23 = 4,648.45/x
  3. Step 3: Cross multiply
    5,475.98x = 8,209.23 × 4,648.45
  4. Step 4: Simplify right side
    5,475.98x = 38,160,146.20
  5. Step 5: Solve for x
    x = 38,160,146.20/5,475.98
  6. Step 6: Final answer
    x = 6,968.65

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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.