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Finding the Fourth Proportional to 4,966.50, 7,449.78 and 4,638.48

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Solution

The fourth proportional to 4,966.50, 7,449.78 and 4,638.48 is: 6,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.50 : 7,449.78 = 4,638.48 : x
  2. Step 2: Convert to fraction form
    4,966.50/7,449.78 = 4,638.48/x
  3. Step 3: Cross multiply
    4,966.50x = 7,449.78 × 4,638.48
  4. Step 4: Simplify right side
    4,966.50x = 34,555,655.53
  5. Step 5: Solve for x
    x = 34,555,655.53/4,966.50
  6. Step 6: Final answer
    x = 6,957.75

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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.