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Finding the Fourth Proportional to 5,613.44, 8,416 and 2,688.96

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Solution

The fourth proportional to 5,613.44, 8,416 and 2,688.96 is: 4,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.44 : 8,416 = 2,688.96 : x
  2. Step 2: Convert to fraction form
    5,613.44/8,416 = 2,688.96/x
  3. Step 3: Cross multiply
    5,613.44x = 8,416 × 2,688.96
  4. Step 4: Simplify right side
    5,613.44x = 22,630,287.36
  5. Step 5: Solve for x
    x = 22,630,287.36/5,613.44
  6. Step 6: Final answer
    x = 4,031.45

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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.