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Finding the Fourth Proportional to 5,076.40, 7,614.40 and 1,613.52

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Solution

The fourth proportional to 5,076.40, 7,614.40 and 1,613.52 is: 2,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.40 : 7,614.40 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    5,076.40/7,614.40 = 1,613.52/x
  3. Step 3: Cross multiply
    5,076.40x = 7,614.40 × 1,613.52
  4. Step 4: Simplify right side
    5,076.40x = 12,285,986.69
  5. Step 5: Solve for x
    x = 12,285,986.69/5,076.40
  6. Step 6: Final answer
    x = 2,420.22

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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.