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Finding the Fourth Proportional to 3,613.76, 4,984.60 and 2,564

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Solution

The fourth proportional to 3,613.76, 4,984.60 and 2,564 is: 3,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.76 : 4,984.60 = 2,564 : x
  2. Step 2: Convert to fraction form
    3,613.76/4,984.60 = 2,564/x
  3. Step 3: Cross multiply
    3,613.76x = 4,984.60 × 2,564
  4. Step 4: Simplify right side
    3,613.76x = 12,780,514.40
  5. Step 5: Solve for x
    x = 12,780,514.40/3,613.76
  6. Step 6: Final answer
    x = 3,536.63

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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.