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Finding the Fourth Proportional to 3,613.50, 4,986.64 and 1,957.50

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Solution

The fourth proportional to 3,613.50, 4,986.64 and 1,957.50 is: 2,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.50 : 4,986.64 = 1,957.50 : x
  2. Step 2: Convert to fraction form
    3,613.50/4,986.64 = 1,957.50/x
  3. Step 3: Cross multiply
    3,613.50x = 4,986.64 × 1,957.50
  4. Step 4: Simplify right side
    3,613.50x = 9,761,347.80
  5. Step 5: Solve for x
    x = 9,761,347.80/3,613.50
  6. Step 6: Final answer
    x = 2,701.36

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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.