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Finding the Fourth Proportional to 5,630.64, 7,771.90 and 3,952.47

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Solution

The fourth proportional to 5,630.64, 7,771.90 and 3,952.47 is: 5,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.64 : 7,771.90 = 3,952.47 : x
  2. Step 2: Convert to fraction form
    5,630.64/7,771.90 = 3,952.47/x
  3. Step 3: Cross multiply
    5,630.64x = 7,771.90 × 3,952.47
  4. Step 4: Simplify right side
    5,630.64x = 30,718,206.41
  5. Step 5: Solve for x
    x = 30,718,206.41/5,630.64
  6. Step 6: Final answer
    x = 5,455.55

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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.