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Finding the Fourth Proportional to 4,913.40, 7,328.63 and 4,174.68

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Solution

The fourth proportional to 4,913.40, 7,328.63 and 4,174.68 is: 6,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.40 : 7,328.63 = 4,174.68 : x
  2. Step 2: Convert to fraction form
    4,913.40/7,328.63 = 4,174.68/x
  3. Step 3: Cross multiply
    4,913.40x = 7,328.63 × 4,174.68
  4. Step 4: Simplify right side
    4,913.40x = 30,594,685.09
  5. Step 5: Solve for x
    x = 30,594,685.09/4,913.40
  6. Step 6: Final answer
    x = 6,226.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.