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Finding the Fourth Proportional to 5,613.60, 7,743.60 and 3,514.08

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Solution

The fourth proportional to 5,613.60, 7,743.60 and 3,514.08 is: 4,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.60 : 7,743.60 = 3,514.08 : x
  2. Step 2: Convert to fraction form
    5,613.60/7,743.60 = 3,514.08/x
  3. Step 3: Cross multiply
    5,613.60x = 7,743.60 × 3,514.08
  4. Step 4: Simplify right side
    5,613.60x = 27,211,629.89
  5. Step 5: Solve for x
    x = 27,211,629.89/5,613.60
  6. Step 6: Final answer
    x = 4,847.45

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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.