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Finding the Fourth Proportional to 4,942.24, 7,412.28 and 1,478.68

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Solution

The fourth proportional to 4,942.24, 7,412.28 and 1,478.68 is: 2,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.24 : 7,412.28 = 1,478.68 : x
  2. Step 2: Convert to fraction form
    4,942.24/7,412.28 = 1,478.68/x
  3. Step 3: Cross multiply
    4,942.24x = 7,412.28 × 1,478.68
  4. Step 4: Simplify right side
    4,942.24x = 10,960,390.19
  5. Step 5: Solve for x
    x = 10,960,390.19/4,942.24
  6. Step 6: Final answer
    x = 2,217.70

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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.