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Finding the Fourth Proportional to 3,613.86, 5,420.86 and 1,148.72

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Solution

The fourth proportional to 3,613.86, 5,420.86 and 1,148.72 is: 1,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.86 : 5,420.86 = 1,148.72 : x
  2. Step 2: Convert to fraction form
    3,613.86/5,420.86 = 1,148.72/x
  3. Step 3: Cross multiply
    3,613.86x = 5,420.86 × 1,148.72
  4. Step 4: Simplify right side
    3,613.86x = 6,227,020.32
  5. Step 5: Solve for x
    x = 6,227,020.32/3,613.86
  6. Step 6: Final answer
    x = 1,723.09

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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.