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Finding the Fourth Proportional to 3,866.31, 5,330.47 and 3,157.42

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Solution

The fourth proportional to 3,866.31, 5,330.47 and 3,157.42 is: 4,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.31 : 5,330.47 = 3,157.42 : x
  2. Step 2: Convert to fraction form
    3,866.31/5,330.47 = 3,157.42/x
  3. Step 3: Cross multiply
    3,866.31x = 5,330.47 × 3,157.42
  4. Step 4: Simplify right side
    3,866.31x = 16,830,532.59
  5. Step 5: Solve for x
    x = 16,830,532.59/3,866.31
  6. Step 6: Final answer
    x = 4,353.13

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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.