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Finding the Fourth Proportional to 3,646.42, 5,469.90 and 1,306.90

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Solution

The fourth proportional to 3,646.42, 5,469.90 and 1,306.90 is: 1,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.42 : 5,469.90 = 1,306.90 : x
  2. Step 2: Convert to fraction form
    3,646.42/5,469.90 = 1,306.90/x
  3. Step 3: Cross multiply
    3,646.42x = 5,469.90 × 1,306.90
  4. Step 4: Simplify right side
    3,646.42x = 7,148,612.31
  5. Step 5: Solve for x
    x = 7,148,612.31/3,646.42
  6. Step 6: Final answer
    x = 1,960.45

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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.