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Finding the Fourth Proportional to 5,704.72, 7,869.12 and 3,605.20

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Solution

The fourth proportional to 5,704.72, 7,869.12 and 3,605.20 is: 4,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.72 : 7,869.12 = 3,605.20 : x
  2. Step 2: Convert to fraction form
    5,704.72/7,869.12 = 3,605.20/x
  3. Step 3: Cross multiply
    5,704.72x = 7,869.12 × 3,605.20
  4. Step 4: Simplify right side
    5,704.72x = 28,369,751.42
  5. Step 5: Solve for x
    x = 28,369,751.42/5,704.72
  6. Step 6: Final answer
    x = 4,973.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.