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Finding the Fourth Proportional to 7,474.50, 10,315.80 and 4,829.60

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Solution

The fourth proportional to 7,474.50, 10,315.80 and 4,829.60 is: 6,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.50 : 10,315.80 = 4,829.60 : x
  2. Step 2: Convert to fraction form
    7,474.50/10,315.80 = 4,829.60/x
  3. Step 3: Cross multiply
    7,474.50x = 10,315.80 × 4,829.60
  4. Step 4: Simplify right side
    7,474.50x = 49,821,187.68
  5. Step 5: Solve for x
    x = 49,821,187.68/7,474.50
  6. Step 6: Final answer
    x = 6,665.49

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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.